Lattices and Ordered Algebraic Structures

• Main Author: Blyth, T.S (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2005.
• Series: Universitext
• Subjects: Mathematics.; Algebra.; Ordered algebraic structures.; Order, Lattices, Ordered Algebraic Structures.

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 h...

Table of Contents:

• 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.