Lattices and Ordered Algebraic Structures / Edition 1

Lattices and Ordered Algebraic Structures / Edition 1

by T.S. Blyth
     
 

"Lattices and Ordered Algebraic Structures provides a concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisites are minimal, and selected parts can profitably be used to broaden the horizon of the advanced undergraduate." Featuring material that has been… See more details below

Overview

"Lattices and Ordered Algebraic Structures provides a concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisites are minimal, and selected parts can profitably be used to broaden the horizon of the advanced undergraduate." 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.

Product Details

ISBN-13:
9781852339050
Publisher:
Springer London
Publication date:
03/08/2008
Series:
Universitext Series
Edition description:
2005
Pages:
304
Product dimensions:
9.21(w) x 6.14(h) x 0.75(d)

Table of Contents

1Ordered sets; residuated mappings1
2Lattices; lattice morphisms19
3Regular equivalences39
4Modular lattices49
5Distributive lattices65
6Complementation; boolean algebras77
7Pseudocomplementation; Stone and Heyting algebras103
8Congruences; subdirectly irreducible algebras119
9Ordered groups143
10Archimedean ordered structures171
11Ordered semigroups; residuated semigroups193
12Epimorphic group images; Dubreil-Jacotin semigroups207
13Ordered regular semigroups225
14Structure theorems265

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >