عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781846281273
(Number (ISBN
9781848008113
(Number (ISBN
9781849969550
(Number (ISBN
9781852339050
NATIONAL BIBLIOGRAPHY NUMBER
Number
b505118
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Lattices and Ordered Algebraic Structures
General Material Designation
[Book]
First Statement of Responsibility
by T.S. Blyth.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
London :
Name of Publisher, Distributor, etc.
Springer London,
Date of Publication, Distribution, etc.
2005.
SERIES
Series Title
Universitext,
ISSN of Series
0172-5939
CONTENTS NOTE
Text of Note
Ordered sets; residuated mappings -- Lattices; lattice morphisms -- Regular equivalences -- Modular lattices -- Distributive lattices -- Complementation; boolean algebras -- Pseudocomplementation; Stone and Heyting algebras -- Congruences; subdirectly irreducible algebras -- Ordered groups -- Archimedean ordered structures -- Ordered semigroups; residuated semigroups -- Epimorphic group images; Dubreil-Jacotin semigroups -- Ordered regular semigroups -- Structure theorems.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781848008113
International Standard Book Number
9781849969550
International Standard Book Number
9781852339050
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Algebra.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Blyth, T.S.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190521101616.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
