Lattices and Ordered Algebraic Structures (Universitext) - Hardcover

Blyth, T.S.

 
9781852339050: Lattices and Ordered Algebraic Structures (Universitext)
Hardcover
ISBN 10: 1852339055 ISBN 13: 9781852339050
Verlag: Springer, 2005

Inhaltsangabe

"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

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Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
1852339055
ISBN 13 
9781852339050
Einband
Tapa dura
Anzahl der Seiten
316
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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9781849969550: Lattices and Ordered Algebraic Structures (Universitext)

Vorgestellte Ausgabe

ISBN 10:  1849969558 ISBN 13:  9781849969550
Verlag: Springer, 2010
Softcover