Semigroup Graded Rings and Jacobson Rings



We study when some graded rings are Jacobson rings. In particular we obtain that rings strongly graded either by a polycyclic-by-finite group, or by an abelian group of finite torsion free rank are Jacobson rings in case the identity component is a left Noetherian Jacobson ring. For monoid rings R[S] of abelian monoids of finite rank the same result holds without R being left Noetherian.


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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  1. 1.Dept. Mathematics and StatisticsMemorial University of NewfoundlandSt. John’sCanada

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