J Austral Math Soc Ser A 58 pp66--72, 1995.

Artinian Band Sums of Rings

A. V. Kelarev

(Received 18 June 1991; revised 29 April 1992)

Abstract

Band sums of associative rings were introduced by Weissglass in 1973. The main theorem claims that the support of every Artinian band sum of rings is infinite. This result is analogous to the well-known theorem on Artinian semigroup rings.

1991 AMS Subject Classification: primary 16P20, 16W50; secondary 20M25

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Authors

A. V. Kelarev: Department of Mathematics, University of Tasmania, G.P.O. Box 252 252 C, Hobart, Tasmania 7001, Australia.

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Last Modified: Thu Jan 9 9:04:23 2003