Noetherian Semigroup Algebras

Name: Noetherian Semigroup Algebras
Brand: Springer Netherlands
SKU: 9789048174485
Price: 105.02 EUR
Availability: InStock

Автор: Eric Jespers, Jan Okninski

Език:

Корици: С меки корици

Издател: Springer Netherlands

Наличност: Външен склад

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105.02 € 205.40 лв

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

Информация за книгата

Автор

Eric Jespers, Jan Okninski

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

364

EAN

9789048174485

ISBN

9048174481

Enbook ID

01975610

Издател

Springer Netherlands

Теглоt

575

Размери

156 x 234 x 19

Пълно описание

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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Noetherian Semigroup Algebras

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