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Noetherian Semigroup Algebras

Name: Noetherian Semigroup Algebras
Brand: Springer Netherlands
SKU: 9789048174485
Price: 2286 CZK
Availability: InStock

Autor: Eric Jespers, Jan Okninski

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer Netherlands

Dostupnost: Skladem u dodavatele

Odesíláme za 5-8 dnů

2 286 Kč

Within the last decade, semigroup theoretical methods have occurred naturally in many aspects of rin...

Informace o knize

Autor

Eric Jespers, Jan Okninski

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2010

Stránek

364

EAN

9789048174485

ISBN

9048174481

Enbook ID

01975610

Vydavatel

Springer Netherlands

Hmotnost

575

Rozměry

156 x 234 x 19

Kompletní popis

Within the last decade, semigroup theoretical methods have occurred naturally in many aspects of ring theory, algebraic combinatorics, representation theory and their applications. In particular, motivated by noncommutative geometry and the theory of quantum groups, there is a growing interest in the class of semigroup algebras and their deformations.§This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. These general results are then applied and illustrated in the context of important classes of algebras that arise in a variety of areas and have been recently intensively studied. Several concrete constructions are described in full detail, in particular intriguing classes of quadratic algebras and algebras related to group rings of polycyclic-by-finite groups. These give new classes of Noetherian algebras of small Gelfand-Kirillov dimension. The focus is on the interplay between their combinatorics and the algebraic structure. This yields a rich resource of examples that are of interest not only for the noncommutative ring theorists, but also for researchers in semigroup theory and certain aspects of group and group ring theory. Mathematical physicists will find this work of interest owing to the attention given to applications to the Yang-Baxter equation.Here is a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. These results are applied and illustrated in the context of important classes of algebras that arise in a variety of areas and have recently been intensively studied. The focus is on the interplay between combinatorics and algebraic structure. Mathematical physicists will find this work interesting for its attention to applications of the Yang-Baxter equation.

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