Items related to Lattice Concepts of Module Theory: 22 (Texts in the...
Synopsis
It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices. This was justified by the nowadays widely accepted perception that the structure of a module over a ring is best understood in terms of the lattice struc ture of its submodule lattice. Citing Louis H. Rowen "this important example (the lattice of all the submodules of a module) is the raison d'etre for the study of lattice theory by ring theorists". Indeed, many module-theoretic results can be proved by using lattice theory alone. The purpose of this book is to collect and present all and only the results of this kind, although for this purpose one must develop some significant lattice theory. The results in this book are of the following categories: the folklore of Lattice Theory (to be found in each Lattice Theory book), module theoretic results generalized in (modular, and possibly compactly gen erated) lattices (to be found in some 6 to 7 books published in the last 20 years), very special module-theoretic results generalized in lattices (e. g. , purity in Chapter 9 and several dimensions in Chapter 13, to be found mostly in [27], respectively, [34] and [18]) and some new con cepts (e. g.
"synopsis" may belong to another edition of this title.
Synopsis
This volume is dedicated to the use of lattice theory in module theory. Its main purpose is to present all module-theoretic results that can be proved by lattice theory only, and to develop the theory necessary to do so. The results treated fall into categories such as the origins of lattice theory, module-theoretic results generalized in modular and likely compactly generated lattices, very special module-theoretic results generalized in lattices, and new concepts in lattices introduced by the author.
"About this title" may belong to another edition of this title.
Search results for Lattice Concepts of Module Theory: 22 (Texts in the...
Stock Image
Lattice Concepts of Module Theory (Texts in the Mathematical Sciences)
Published by
Kluwer Academic Publishers, 2000
ISBN 10: 0792364880
ISBN 13: 9780792364887
New
Hardcover
Seller: New Book Sale, London, United Kingdom
Seller rating 5 out of 5 stars
Hardcover. Condition: New. Usually Dispatched within 1-2 Business Days , Buy with confidence , excellent customer service. Seller Inventory # 0792364880--26
Quantity: 1 available
Stock Image
Lattice Concepts of Module Theory
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 756632-n
Quantity: Over 20 available
Stock Image
Lattice Concepts of Module Theory (Texts in the Mathematical Sciences, 22)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780792364887_new
Quantity: Over 20 available
Seller Image
Lattice Concepts of Module Theory
Print on DemandSeller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices. This was justified by the nowadays widely accepted perception. Seller Inventory # 5969467
Quantity: Over 20 available
Seller Image
Lattice Concepts of Module Theory
Published by
Springer Netherlands Aug 2000, 2000
ISBN 10: 0792364880
ISBN 13: 9780792364887
New
Hardcover
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices. This was justified by the nowadays widely accepted perception that the structure of a module over a ring is best understood in terms of the lattice struc ture of its submodule lattice. Citing Louis H. Rowen 'this important example (the lattice of all the submodules of a module) is the raison d'etre for the study of lattice theory by ring theorists'. Indeed, many module-theoretic results can be proved by using lattice theory alone. The purpose of this book is to collect and present all and only the results of this kind, although for this purpose one must develop some significant lattice theory. The results in this book are of the following categories: the folklore of Lattice Theory (to be found in each Lattice Theory book), module theoretic results generalized in (modular, and possibly compactly gen erated) lattices (to be found in some 6 to 7 books published in the last 20 years), very special module-theoretic results generalized in lattices (e. g. , purity in Chapter 9 and several dimensions in Chapter 13, to be found mostly in [27], respectively, [34] and [18]) and some new con cepts (e. g. 248 pp. Englisch. Seller Inventory # 9780792364887
Quantity: 2 available
Seller Image
Lattice Concepts of Module Theory
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 756632-n
Quantity: Over 20 available
Seller Image
Lattice Concepts of Module Theory
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 756632
Quantity: Over 20 available
Seller Image
Lattice Concepts of Module Theory
Published by
Springer Netherlands, Springer Netherlands, 2000
ISBN 10: 0792364880
ISBN 13: 9780792364887
New
Hardcover
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices. This was justified by the nowadays widely accepted perception that the structure of a module over a ring is best understood in terms of the lattice struc ture of its submodule lattice. Citing Louis H. Rowen 'this important example (the lattice of all the submodules of a module) is the raison d'etre for the study of lattice theory by ring theorists'. Indeed, many module-theoretic results can be proved by using lattice theory alone. The purpose of this book is to collect and present all and only the results of this kind, although for this purpose one must develop some significant lattice theory. The results in this book are of the following categories: the folklore of Lattice Theory (to be found in each Lattice Theory book), module theoretic results generalized in (modular, and possibly compactly gen erated) lattices (to be found in some 6 to 7 books published in the last 20 years), very special module-theoretic results generalized in lattices (e. g. , purity in Chapter 9 and several dimensions in Chapter 13, to be found mostly in [27], respectively, [34] and [18]) and some new con cepts (e. g. Seller Inventory # 9780792364887
Quantity: 1 available
Stock Image
Lattice Concepts of Module Theory
Print on DemandSeller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 556. Seller Inventory # C9780792364887
Quantity: Over 20 available
Seller Image
Lattice Concepts of Module Theory
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 756632
Quantity: Over 20 available