𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

Lattices and Ordered Algebraic Structures

✍ Scribed by Blyth, T. S

Publisher
Springer
Year
2006
Tongue
English
Leaves
311
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis

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.;Provides a concise introduction to the theory of ordered sets and basic ordered algebraic structures. This book discusses the developments in the theory of residuated lattices and ordered regular semigroups. It presents an account of the range of applications of the theory, with illustrative examples and numerous exercises.

✦ 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.

✦ Subjects

Lattice theory;Ordered algebraic structures;Electronic books

πŸ“œ SIMILAR VOLUMES

Lattices and Ordered Algebraic Structure
πŸ“ Lattices and Ordered Algebraic Structures
✍ T.S. Blyth πŸ“‚ Library πŸ“… 2005 πŸ› Springer 🌐 English

<P>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. </

Lattices and Ordered Algebraic Structure
πŸ“ Lattices and Ordered Algebraic Structures
✍ T.S. Blyth πŸ“‚ Library πŸ“… 2005 πŸ› Springer 🌐 English

"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning.…The exposition is thorough and all proofs that the reviewer checked were highly

Lattices and Ordered Algebraic Structure
πŸ“ Lattices and Ordered Algebraic Structures
✍ T.S. Blyth πŸ“‚ Library πŸ“… 2005 πŸ› Springer 🌐 English

The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning.…The exposition is thorough and all proofs that the reviewer checked were highly