Name: Completely Regular Semigroup Varieties: Applications and Advanced Techniques (en Inglés)
Price: 56.02 USD
Availability: InStock
Author: Petrich, Mario ; Reilly, Norman R.
ISBN: 9783031488245

portada Completely Regular Semigroup Varieties: Applications and Advanced Techniques (en Inglés)

Completely Regular Semigroup Varieties: Applications and Advanced Techniques (en Inglés)

Formato

Libro Físico

Autor

Mario Petrich

Norman R. Reilly

Editorial

Springer

Idioma

Inglés

Encuadernación

Tapa Dura

ISBN13

9783031488245

Categorías

Lógica matemática
Álgebra

Completely Regular Semigroup Varieties: Applications and Advanced Techniques (en Inglés)

Mario Petrich (Autor) · Norman R. Reilly (Autor) · Springer · Tapa Dura

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Reseña del libro "Completely Regular Semigroup Varieties: Applications and Advanced Techniques (en Inglés)"

This book presents further developments and applications in the area of completely regular semigroup theory, beginning with applications of Polák's theorem to obtain detailed descriptions of various kernel classes including the K-class covers of the kernel class of all bands. The important property of modularity of the lattice of varieties of completely regular semigroups is then employed to analyse various principal sublattices. This is followed by a study of certain important complete congruences on the lattice; the group, local and core relations. The next chapter is devoted to a further treatment of certain free objects and related word problems. There are many constructions in the theory of semigroups. Those that have played an important role in the theory of varieties of completely regular semigroups are presented as they apply in this context. The mapping that takes each variety to its intersection with the variety of bands is a complete retraction of the lattice of varieties of completely regular semigroups onto the lattice of band varieties and so induces a complete congruence for which every class has a greatest member. The sublattice generated by these greatest members is then investigated with the help of many applications of Polák's theorem. The book closes with a fascinating conjecture regarding the structure of this sublattice.