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Semigroup-graded rings with finite support

Published online by Cambridge University Press:  18 May 2009

M. V. Clase ,
E. Jespers  and
A. Del Río
M. V. Clase
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, OntarioCanada L8S 4K1
E. Jespers
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. Johns, Newfoundland, Canada A1C 5S7
A. Del Río
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, 30071 Murcia, Spain
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Let S be a semigroup and let be an S-graded ring. Rs = 0 for all but finitely many elements s ∈ S1, then R is said to have finite support. In this paper we concern ourselves with the question of whether a graded ring R with finite support inherits a given ring theoretic property from the homogeneous subrings Re corresponding to idempotent semigroup elements e.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 1 , January 1996 , pp. 11 - 18
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

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