Semigroup Graded Rings and Jacobson Rings

Eric Jespers
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Eric Jespers: Memorial University of Newfoundland, Dept. Mathematics and Statistics

A chapter in Lattices, Semigroups, and Universal Algebra, 1990, pp 105-114 from Springer

Abstract: Abstract 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.

Date: 1990
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DOI: 10.1007/978-1-4899-2608-1_12

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