Lattices and Ordered Algebraic Structures

1. Auflage. 2005
ISBN: 978-1-85233-905-0
Verlag: Springer

Buch, Englisch, 304 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1370 g

Reihe: Universitext

This up-to-date book provides a lucid and concise introduction to the theory of ordered sets and basic ordered algebraic structures. The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular 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.

Zielgruppe

Graduate and post-graduate students in mathematics; researchers

Autoren/Hrsg.

Blyth, T. S.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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.