Eric Jespers; Jan Okninski Noetherian Semigroup Algebras 9789048174485

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Автор: Eric Jespers; Jan Okninski
Название: Noetherian Semigroup Algebras
ISBN: 9789048174485
Издательство: Springer
Классификация: ISBN-10: 9048174481
Обложка/Формат: Paperback
Страницы: 373
Вес: 0.53 кг.
Дата издания: 2007
Серия: Algebra and Applications
Язык: English
Размер: 234 x 156 x 20
Читательская аудитория: Science
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: The ?rst aim of this work is to present the main results and methods of the theory of Noetherian semigroup algebras. These general results are then applied and illustrated in the context of certain interesting and important concrete classes of algebras that arise in a variety of areas and have been recently intensively studied. One of the main motivations for this project has been the growing int- est in the class of semigroup algebras (and their deformations) and in the application of semigroup theoretical methods. Two factors seem to be the cause for this. First, this ?eld covers several important classes of algebras that recently arise in a variety of areas. Furthermore, it provides methods to construct a variety of examples and tools to control their structure and properties, that should be of interest to a broad audience in algebra and its applications. Namely, this is a rich resource of constructions not only for the noncommutative ring theorists (and not only restricted to Noetherian rings) but also to researchers in semigroup theory and certain aspects of group theory. Moreover, because of the role of new classes of Noetherian algebras in the algebraic approach in noncommutative geometry, algebras of low dimension (in terms of the homological or the Gelfand-Kirillov - mension) recently gained a lot of attention. Via the applications to the Yang-Baxter equation, the interest also widens into other ?elds, most - tably into mathematical physics.

Noetherian Semigroup Algebras, Eric Jespers; Jan Okninski