Monoids, Acts and Categories: With Applications to Wreath Products and Graphs. A Handbook for Students and Researchers / Edition 1

by Mati Kilp, Ulrich Knauer, Alexander V. Mikhalev

Overview

No detailed description available for "Monoids, Acts and Categories".

Product Details

ISBN-13:	9783110152487
Publisher:	De Gruyter
Publication date:	03/22/2000
Series:	De Gruyter Expositions in Mathematics , #29
Edition description:	Reprint 2011
Pages:	546
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

Editorial Reviews

"The authors of this book are well-known specialists in the area of homological classification of monoids. The presentation is extremely clear and incisive. Without a doubt, the book could serve as a textbook for a very good graduate course on representation theory of monoids, homological algebra and category theory." Mathematical Reviews

"The material of the book is well organised and suitable for a broad audience interested in monoids, acts, non-abelian categories as well as in formal languages, automata theory and other applications of semigroups. The book is comprehensive and self-contained and can be used both as study material for courses on representation theory on monoids, homological algebra and category theory, and as a handbook for students and researchers in the area. This is why the book should not be missing in any library of the faculty of mathematics of any university." Zentralblatt für Mathematik

From the Publisher

The first part of the volume provides a self-contained and relatively broad introduction for undergraduate and graduate students working with monoids, acts, (partial) transformations, congruences, and non- abelian categories. It also provides background for semigroup theory and automata, formal languages, and other applications of semigroups. Wreath products of monoids, acts, and categories are presented, also, for readers with applied background. The second part of the volume concentrates on results in homological classification of monoids including Morita type theorems on equivalences and dualities and homological properties of monoids. This part of the text requires some advanced knowledge of algebra and the ability to discover the relations of monoids and acts with different parts of mathematics and applications. In both parts, the authors show how the concepts developed for acts can be applied to other areas such as graphs and, eventually, to wreath products. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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