libcats.org
Главная

Lattices and Ordered Algebraic Structures

Обложка книги Lattices and Ordered Algebraic Structures

Lattices and Ordered Algebraic Structures

This book provides a lucid and concise introduction to the basic results concerning the notion of an order. Although 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:

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

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.

Популярные книги за неделю:

О физической природе шаровой молнии

Автор:
Категория: science, science, exact
Размер книги: 5.03 Mb

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb

Elementary surveying. An introduction to geomatics

Автор: , Автор:
Категория: P_Physics, PGp_Geophysics
Размер книги: 43.64 Mb
Только что пользователи скачали эти книги:

Бесконечный матч

Автор:
Категория: Спорт
Размер книги: 936 Kb

Дженел Тейлор. Только с тобой

Автор:
Размер книги: 646 Kb

Mammal Tracks & Sign: A Guide to North American Species

Автор:
Размер книги: 24.26 Mb

What Technology Wants

Автор:
Размер книги: 5.97 Mb

Millennial Rites

Автор:
Категория: fiction
Размер книги: 562 Kb