9780521348331 - Lms: 130 Model Theory and Modules (london Mathematical Society Lecture Note Series, Series Number 130) by Prest, M. (26 results)
Language: English
Published by Cambridge : Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
- Softcover
- First Edition
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First Edition. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description: xviii, 380 pages; 21cm. Notes:Includes bibliographical references and indexes.Contents: Cover; Title; Copyright; Dedication; Preface; Contents; Introduction;… Acknowledgements; Notations and conventions; Remarks on the development of the area; Section summaries; Chapter 1 Some preliminaries; 1.1 An introduction to model theory; 1.2 Injective modules and decomposition theorems; Chapter 2 Positive primitive formulas and the sets they define; 2.1 pp formulas; 2.2 pp-types; 2.3 Pure embeddings and pure-injective modules; 2.4 pp-elimination of quantifiers; 2.5 Immediate corollaries of pp-elimination of quantifiers; 2.6 Comparison of complete theories of modules2.Z pp formulas and types in abelian groups2.L Other languages; Chapter 3 Stability and totally transcendental modules; 3.1 Stability for modules; 3.2 A structure theorem for totally transcendental modules; part I; 3.A Abelian structures; Chapter 4 Hulls; 4.1 pp-essential embeddings and the construction of hulls; 4.2 Examples of hulls; 4.3 Decomposition of injective and pure-injective modules; 4.4 Irreducible types; 4.5 Limited and unlimited types; 4.6 A structure theory for totally transcendental modules; part II; 4.C Categoricity; 4.7 The space of indecomposablesChapter 5 Forking and ranks5.1 Forking and independence; 5.2 Ranks; 5.3 An algebraic characterisation of independence; 5.4 Independence when T = TXo; Chapter 6 Stability-theoretic properties of types; 6.1 Free parts of types and the stratified order; 6.2 Domination and the RK-order; 6.3 Orthogonality and the RK-order; 6.4 Regular types; 6.1 An example: injective modules over noetherian rings; 6.5 Saturation and pure-injective modules; 6.6 Multiplicity and strong types; Chapter 7 Superstable modules; 7.1 Superstable modules: the uncountable spectrum; 7.2 Modules of U-rank 1 7.3 Modules of finite U-rankChapter 8 The lattice of pp-types and free realisations of pp-types; 8.1 The lattice of pp-types; 8.2 Finitely generated pp-types; 8.3 pp-types and matrices; 8.4 Duality and pure-semisimple rings; Chapter 9 Types and the structure of pure-injective modules; 9.1 Minimal pairs; 9.2 Associated types; 9.3 Notions of isolation; 9.4 Neg-isolated types and elementary cogenerators; Chapter 10 Dimension and decomposition; 10.1 Existence of indecomposable direct summands; 10.2 Dimensions defined on lattices; 10.3 Modules with width 10.4 Classification for theories with dimension10.5 Krull dimension; 10.T Teq; 10.6 Dimension and height; 10.V Valuation rings; Chapter 11 Modules over artinian rings; 11.1 Pure-semisimple rings; 11.2 Pure-semisimple rings and rings of finite representation type; 11.3 Finite hulls over artinian rings; 11.4 Finite Morley rank and finite representation type; 11.P "Pathologies"; Chapter 12 Functor categories; 12.1 Functors defined from pp formulas; 12.2 Simple functors; 12.3 Embedding into functor categories; 12.P Pure global dimension and dimensions of functor categories Chapter 13 Modules over Artin algebrasSubjects: Model theory.Modules (Algebra)Model theory. Modules (Algebra) Model theory.Modules (Algebra)Théorie des modèles.Modules (Algèbre)Model theory. Modules (Algebra). Modèles, Théorie des. Modules (algèbre)MATHEMATICS General.Algebra Modules 3 Kg.
Language: English
Published by Cambridge University Press, 2008
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,800grams, ISBN:0521348331.
More imagesLanguage: English
Published by Cambridge University Press, 2008
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
- Softcover
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Broschur, Gr.-8°. Condition: Gut. 1. 380 S. Das Buch ist in gutem, sauberen Zustand. Einband berieben / fleckig. Ecken und Kanten leicht bestossen. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt. The interplay between model theory and other branches of mathematics has led to intriguing results. In this book, the theme i…s the interplay between model theory and the theory of modules. It is an introduction to the subject and introduces the requisite model theory and module theory as is needed.In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time. Introduction; Acknowledgements; Notations and conventions; Remarks on the development of the area; Section summaries; 1. Some preliminaries; 2. Positive primitive formulas and the sets they define; 3. Stability and totally transcendental modules; 4. Hulls; 5. Forking and ranks; 6. Stability-theoretic properties of types; 7. Superstable modules; 8. The lattice of pp-types and free realisations of pp-types; 9. Types and the structure of pure-injective modules; 10. Dimension and decomposition; 11. Modules over artinian rings; 12. Functor categories; 13. Modules over artin algebras; 14. Projective and flat modules; 15. Torsion and torsionfree classes; 16. Elimination of quantifiers; 17. Decidability and undecidability; Problems page; Bibliography; Examples index; Notation index; Index. ISBN: 9780521348331 Wir senden umgehend mit beiliegender MwSt.Rechnung. Sprache: Englisch Gewicht in Gramm: 590.
Language: English
Published by Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
- Softcover
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paperback. Condition: Good. Ex-library book with stickers and/or stamps throughout.
Language: English
Published by Cambridge : Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
- Softcover
- First Edition
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First Edition. Very good paperback copy; edges slightly dust-dulled and nicked. Remains particularly well-preserved overall; tight, bright, and clean. Physical description: xviii, 380 pages; 21cm. Notes:Includes bibliographical references and indexes.Contents: Cover; Title; Copyright; Dedication; Preface; Contents; Introduction;… Acknowledgements; Notations and conventions; Remarks on the development of the area; Section summaries; Chapter 1 Some preliminaries; 1.1 An introduction to model theory; 1.2 Injective modules and decomposition theorems; Chapter 2 Positive primitive formulas and the sets they define; 2.1 pp formulas; 2.2 pp-types; 2.3 Pure embeddings and pure-injective modules; 2.4 pp-elimination of quantifiers; 2.5 Immediate corollaries of pp-elimination of quantifiers; 2.6 Comparison of complete theories of modules2.Z pp formulas and types in abelian groups2.L Other languages; Chapter 3 Stability and totally transcendental modules; 3.1 Stability for modules; 3.2 A structure theorem for totally transcendental modules; part I; 3.A Abelian structures; Chapter 4 Hulls; 4.1 pp-essential embeddings and the construction of hulls; 4.2 Examples of hulls; 4.3 Decomposition of injective and pure-injective modules; 4.4 Irreducible types; 4.5 Limited and unlimited types; 4.6 A structure theory for totally transcendental modules; part II; 4.C Categoricity; 4.7 The space of indecomposablesChapter 5 Forking and ranks5.1 Forking and independence; 5.2 Ranks; 5.3 An algebraic characterisation of independence; 5.4 Independence when T = TXo; Chapter 6 Stability-theoretic properties of types; 6.1 Free parts of types and the stratified order; 6.2 Domination and the RK-order; 6.3 Orthogonality and the RK-order; 6.4 Regular types; 6.1 An example: injective modules over noetherian rings; 6.5 Saturation and pure-injective modules; 6.6 Multiplicity and strong types; Chapter 7 Superstable modules; 7.1 Superstable modules: the uncountable spectrum; 7.2 Modules of U-rank 1 7.3 Modules of finite U-rankChapter 8 The lattice of pp-types and free realisations of pp-types; 8.1 The lattice of pp-types; 8.2 Finitely generated pp-types; 8.3 pp-types and matrices; 8.4 Duality and pure-semisimple rings; Chapter 9 Types and the structure of pure-injective modules; 9.1 Minimal pairs; 9.2 Associated types; 9.3 Notions of isolation; 9.4 Neg-isolated types and elementary cogenerators; Chapter 10 Dimension and decomposition; 10.1 Existence of indecomposable direct summands; 10.2 Dimensions defined on lattices; 10.3 Modules with width 10.4 Classification for theories with dimension10.5 Krull dimension; 10.T Teq; 10.6 Dimension and height; 10.V Valuation rings; Chapter 11 Modules over artinian rings; 11.1 Pure-semisimple rings; 11.2 Pure-semisimple rings and rings of finite representation type; 11.3 Finite hulls over artinian rings; 11.4 Finite Morley rank and finite representation type; 11.P "Pathologies"; Chapter 12 Functor categories; 12.1 Functors defined from pp formulas; 12.2 Simple functors; 12.3 Embedding into functor categories; 12.P Pure global dimension and dimensions of functor categories Chapter 13 Modules over Artin algebrasSubjects: Model theory.Modules (Algebra)Model theory. Modules (Algebra) Model theory.Modules (Algebra)Théorie des modèles.Modules (Algèbre)Model theory. Modules (Algebra). Modèles, Théorie des. Modules (algèbre)MATHEMATICS General.Algebra Modules 1 Kg.
Language: English
Published by Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
- Softcover
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Paperback. Condition: Good. Dust Jacket Condition: No d/j as Published. Type: Book N.B. Small plain label to inside front cover. Corners of covers a little rubbed.
Language: English
Published by Cambridge, Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 13 PRE 9780521348331 Sprache: Englisch Gewicht in…Gramm: 1150.
Language: English
Published by Cambridge New York , Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 13 PRE 9780521348331 Sprache: Englisch Gewicht in…Gramm: 1150.
Language: English
Published by Cambridge University Press., 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Language: English
Published by Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Language: English
Published by Cambridge University Press, 1988
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Language: English
Published by Cambridge University Press, 1988
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Language: English
Published by Cambridge University Press, 1988
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Language: English
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Language: English
Published by Cambridge University Press, 1988
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Language: English
Published by Cambridge University Press, 2008
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Condition: New. The interplay between model theory and other branches of mathematics has led to intriguing results. In this book, the theme is the interplay between model theory and the theory of modules. It is an introduction to the subject and introduces the requisite model theory and module theory as is needed. Series Editor(…s): Hitchin, N. J. Series: London Mathematical Society Lecture Note Series. Num Pages: 400 pages, Illustrations. BIC Classification: PBCD. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 23. Weight in Grams: 590. . 2008. 1st Edition. paperback. . . . .
Language: English
Published by Cambridge University Press CUP, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Condition: New. pp. 400 Index.
Language: English
Published by Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
- Softcover
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Condition: New. The interplay between model theory and other branches of mathematics has led to intriguing results. In this book, the theme is the interplay between model theory and the theory of modules. It is an introduction to the subject and introduces the requisite model theory and module theory as is needed. Series Editor(…s): Hitchin, N. J. Series: London Mathematical Society Lecture Note Series. Num Pages: 400 pages, Illustrations. BIC Classification: PBCD. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 23. Weight in Grams: 590. . 2008. 1st Edition. paperback. . . . . Books ship from the US and Ireland.
Language: English
Published by Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The b…ook is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time.
Language: English
Published by Cambridge Univ Pr, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Paperback. Condition: Brand New. 400 pages. 9.00x6.25x1.00 inches. In Stock. This item is printed on demand.
Language: English
Published by Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Published by Cambridge University Press, 2003
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The interplay between model theory and other branches of mathematics has led to intriguing results. In this book, the theme is the interplay between model theory and the theory of modules. It is an introduction to the… subject and introduces the requisite mo.
Language: English
Published by Cambridge University Press, Cambridge, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
- Softcover
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Paperback. Condition: new. Paperback. Professor Prest is the first to address the topic of the development of the interplay between model theory and the theory of modules. In recent years the relationship between model theory and other branches of mathematics has led to many profound and intriguing results. This self-contained i…ntroduction to the subject introduces the requisite model theory and module theory as it is needed. It then develops the basic ideas of determining what can be said about modules using the information that may be expressed in first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. The interplay between model theory and other branches of mathematics has led to intriguing results. In this book, the theme is the interplay between model theory and the theory of modules. It is an introduction to the subject and introduces the requisite model theory and module theory as is needed. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
Language: English
Published by Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Language: English
Published by Cambridge University Press, 1988
Series: London Mathematical Society Lecture Notes, Book 108 of 387. Book 108 of 387 - London Mathematical Society Lecture Notes
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Condition: New. PRINT ON DEMAND pp. 400 Acknowledgements.
