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: 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.
General
| Imprint: |
Springer London
|
| Country of origin: |
United Kingdom |
| Series: |
Universitext |
| Release date: |
April 2005 |
| First published: |
2005 |
| Authors: |
T.S. Blyth
|
| Dimensions: |
235 x 155 x 19mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
304 |
| Edition: |
2005 ed. |
| ISBN-13: |
978-1-85233-905-0 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
Promotions
|
| LSN: |
1-85233-905-5 |
| Barcode: |
9781852339050 |
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