Noetherian Semigroup Algebras

by Eric Jespers, Jan Okninski

Overview

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.

Product Details

ISBN-13:	9789048174485
Publisher:	Springer Netherlands
Publication date:	11/19/2010
Series:	Algebra and Applications , #7
Edition description:	Softcover reprint of hardcover 1st ed. 2007
Pages:	364
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Prerequisites on semigroup theory.- Prerequisites on ring theory.- Algebras of submonoids of polycyclic-by-finite groups.- General Noetherian semigroup algebras.- Principal ideal rings.- Maximal orders and Noetherian semigroup algebras.- Monoids of I-type.- Monoids of skew type.- Examples.

Editorial Reviews

From the reviews:

"This book presents the main results and methods of the theory of Noetherian semigroup algebras over fields. … This is a highly technical and specialized monograph that will primarily be of use to researchers in the theory of semigroup algebras … . The many examples given in detail, and the general theory developed, may prove useful to those working in ring or semigroup theory." (Henry E. Heatherly, Mathematical Reviews, Issue 2007 k)

"This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras. … The main subject in this book is to present when some semigroup algebras are Noetherian and how they are under the Noetherian condition. … This book is a good reference for researchers who are interested in non-commutative algebra and non-commutative geometry through the method of semigroups." (Li Fang, Zentralblatt MATH, Vol. 1135 (13), 2008)

"The book under review is testament to the huge amount and the depth of research on Noetherian semigroup algebras. … The authors have brought together work from a significant number of research papers and made a coherent whole. … it is definitely the place to learn about Noetherian semigroup algebras. Essential reading for people interested in semigroup algebras, it will also be of interest to semigroup theorists, particularly because of the wealth of new examples of semigroups it provides." (John Fountain, Semigroup Forum, Vol. 79, 2009)

From the Publisher