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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Groups & group theory

• Full title: Noetherian Semigroup Algebras
• Author: Eric Jespers, Jan Okninski
• Language: English
• Binding: Hardback
• Number of pages: 364
• EAN: 9781402058097
• ISBN: 1402058098
• ID: 01417140
• Publisher: Springer-Verlag New York Inc.
• Weight: 690 g
• Dimensions: 245 × 162 × 23 mm
• Date of publishing: 21. February 2007

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