M-Solid Varieties of Algebras

2006
ISBN: 978-1-4899-9662-6
Verlag: Springer US

Buch, Englisch, Band 10, 342 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 540 g

Reihe: Advances in Mathematics

A complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on solid varieties of semirings and semigroups. The book aims to develop the theory of solid varieties as a system of mathematical discourse that is applicable in several concrete situations. A unique feature of this book is the use of Galois connections to integrate different topics.

Zielgruppe

Research

Autoren/Hrsg.

Denecke, Klaus

Koppitz, Jörg

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Programmier- und Skriptsprachen
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten

Inhaltsverzeichnis

Basic Concepts.- Closure Operators and Lattices.- M-Hyperidentities and M-solid Varieties.- Hyperidentities and Clone Identities.- Solid Varieties of Arbitrary Type.- Monoids of Hypersubstitutions.- M-Solid Varieties of Semigroups.- M-solid Varieties of Semirings.