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Artinian band sums of rings

Part of: Chain conditions, growth conditions, and other forms of finiteness Rings and algebras with additional structure Semigroups

Published online by Cambridge University Press:  09 April 2009

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

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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 finite. This result is analogous to the well-known theorem on Artinian semigroup rings.

MSC classification

Secondary: 16P20: Artinian rings and modules 16W50: Graded rings and modules 20M25: Semigroup rings, multiplicative semigroups of rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 58 , Issue 1 , February 1995 , pp. 66 - 72
Copyright
Copyright © Australian Mathematical Society 1995

References

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