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Synopsis
This up-to-date book provides a lucid and concise introduction to the theory of ordered sets and basic ordered algebraic structures. The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field.
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From the Back Cover
Lattices and Ordered Algebraic Structures provides a lucid and concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisities are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate.
The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Topics covered include:
[bulleted list]
residuated mappings
Galois connections
modular, distributive, and complemented lattices
Boolean algebras
pseudocomplemented lattices
Stone algebras
Heyting algebras
ordered groups
lattice-ordered groups
representable groups
Archimedean ordered structures
ordered semigroups
naturally ordered regular and inverse Dubreil-Jacotin semigroups
[end od bulleted list]
Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field for researchers in mathematics, logic and computer science.
T. S. Blyth is Professor Emeritus at St. Andrews University, UK
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Paperback. Condition: New. This up-to-date book provides a lucid and concise introduction to the theory of ordered sets and basic ordered algebraic structures. The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field. Softcover reprint of hardcover 1st ed. 2005. Seller Inventory # LU-9781849969550
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Lattices and Ordered Algebraic Structures
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning.The exposition is thorough and all proofs that the reviewer checked were highly polished.Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author's research expertise.' --MATHEMATICAL REVIEWS 316 pp. Englisch. Seller Inventory # 9781849969550
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A unified introduction to the theory of ordered sets and basic ordered algebraic structures it provides an exposition of all the essentialsUp-to-date: it includes recent developments in the theory of residuated lattices and frames I. Seller Inventory # 4289008
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