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

"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 polished.…Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS

Zielgruppe

Graduate and post-graduate students in mathematics; researchers

Autoren/Hrsg.

Blyth, T. S.

Fachgebiete

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

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.