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Titlebook: Noetherian Semigroup Algebras; Eric Jespers,Jan Okniński Book 20071st edition Springer Science+Business Media B.V. 2007 Algebraic structur

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书目名称Noetherian Semigroup Algebras
编辑Eric Jespers,Jan Okniński
视频video
概述Offers a comprehensive treatment of the current state of a fast-developing area of noncommutative algebra.Provides a significant source of concrete constructions in noncommutative (noetherian) ring th
丛书名称Algebra and Applications
图书封面Titlebook: Noetherian Semigroup Algebras;  Eric Jespers,Jan Okniński Book 20071st edition Springer Science+Business Media B.V. 2007 Algebraic structur
描述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 noncommut
出版日期Book 20071st edition
关键词Algebraic structure; Gelfand-Kirillov dimension; Group theory; Noetherian and PI algebra; Representation
版次1
doihttps://doi.org/10.1007/1-4020-5810-1
isbn_softcover978-90-481-7448-5
isbn_ebook978-1-4020-5810-3Series ISSN 1572-5553 Series E-ISSN 2192-2950
issn_series 1572-5553
copyrightSpringer Science+Business Media B.V. 2007
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978-90-481-7448-5Springer Science+Business Media B.V. 2007
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Introduction,The first 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.
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General Noetherian semigroup algebras,In this chapter we prove certain fundamental general results on right Noetherian semigroup algebras .. First, we show that in many important cases such algebras are finitely generated. In particular, this extends the observation made in Theorem 4.1.7 for submonoids of polycyclic-by-finite groups.
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