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Semigroup Algebras and Noetherian Maximal Orders: aSurvey

Semigroup Algebras and Noetherian Maximal Orders: aSurvey A survey is given on recent results describing when a semigroup algebra K[S] of a submonoid S of a polycyclic-by-finite group is a prime Noetherian maximal order. As an application one constructs concrete classes of finitely presented algebras that have the listed properties. Also some open problems are stated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Semigroup Algebras and Noetherian Maximal Orders: aSurvey

Acta Applicandae Mathematicae , Volume 108 (1) – Dec 2, 2008

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References (30)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics; Computer Science, general; Mathematics, general
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-008-9392-2
Publisher site
See Article on Publisher Site

Abstract

A survey is given on recent results describing when a semigroup algebra K[S] of a submonoid S of a polycyclic-by-finite group is a prime Noetherian maximal order. As an application one constructs concrete classes of finitely presented algebras that have the listed properties. Also some open problems are stated.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Dec 2, 2008

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