J Austral Math Soc Ser A 45 pp372--380, 1988.

Chain Conditions and Semigroup Graded Rings

E. Jespers

(Received 7 October 1986; revised 26 October 1987)

Abstract

The following question is 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.

1980 AMS Subject Classification (1985 Revision): 16A34, 16A03, 20M05

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Authors

E. Jespers: Department of Mathematics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7.

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Last Modified: Wed Feb 19 10:27:48 2003