Clase, M. V.; Jespers, E.; Kelarev, A. V.; Okniński, J. Artinian semigroup-graded rings. (English) Zbl 0836.16027 Bull. Lond. Math. Soc. 27, No. 5, 441-446 (1995). Let \(S\) be a semigroup with no infinite subgroups and let \(R\) be a right Artinian \(S\)-graded ring. We prove that \(R\) necessarily has finite support. Reviewer: M.V.Clase (Hamilton/Ontario) Cited in 5 Documents MSC: 16W50 Graded rings and modules (associative rings and algebras) 16P20 Artinian rings and modules (associative rings and algebras) 16S36 Ordinary and skew polynomial rings and semigroup rings 20M25 Semigroup rings, multiplicative semigroups of rings Keywords:semigroup rings; generalised matrix rings; Morita contexts; semigroup- graded rings; Artinian rings; right Artinian \(S\)-graded ring; finite support PDFBibTeX XMLCite \textit{M. V. Clase} et al., Bull. Lond. Math. Soc. 27, No. 5, 441--446 (1995; Zbl 0836.16027) Full Text: DOI