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Noetherian Semigroup Algebras

Name: Noetherian Semigroup Algebras
Brand: Springer Netherlands
SKU: 9789048174485
Price: 38334 HUF
Availability: InStock

Szerző: Eric Jespers, Jan Okninski

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Netherlands

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

38 334 Ft

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

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Szerző

Eric Jespers, Jan Okninski

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2010

oldal

364

EAN

9789048174485

ISBN

9048174481

Enbook ID

01975610

Kiadó

Springer Netherlands

Súly

575

Méretek

156 x 234 x 19

Teljes leírás

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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