
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.
Artinian rings and modules (associative rings and algebras), semigroup- graded rings, generalised matrix rings, Artinian rings, Ordinary and skew polynomial rings and semigroup rings, Morita contexts, right Artinian \(S\)-graded ring, Graded rings and modules (associative rings and algebras), Semigroup rings, multiplicative semigroups of rings, finite support, semigroup rings
Artinian rings and modules (associative rings and algebras), semigroup- graded rings, generalised matrix rings, Artinian rings, Ordinary and skew polynomial rings and semigroup rings, Morita contexts, right Artinian \(S\)-graded ring, Graded rings and modules (associative rings and algebras), Semigroup rings, multiplicative semigroups of rings, finite support, semigroup rings
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