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Chain conditions and semigroup graded rings

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

E. Jespers
E. Jespers
Affiliation:
Department of Mathematics, Memorial University of NewfoundlandSt. John's, NewfoundlandCanadaA1C 5S7A
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Abstract

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The following questions are studied: When is a semigroup graded ring left Noetherian, respectively semiprime left Goldie? Necessary sufficient conditions are proved for cancellative semigroup-graded subrings of rings weakly or strongly graded by a polycyclic-by-finite (unique product) group. For semigroup rings R[S] we also give a solution to the problem in case S is an inverse semigroup.

MSC classification

Secondary: 20M25: Semigroup rings, multiplicative semigroups of rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 3 , December 1988 , pp. 372 - 380
Copyright
Copyright © Australian Mathematical Society 1988

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