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Partial Skew Polynomial Rings and Jacobson Rings
Authors:Wagner Cortes
Institution:1. Instituto de Matemática , Universidade Federal do Rio Grande do Sul , Porto Alegre-RS, Brazil cortes@mat.ufrgs.br
Abstract:In this article we consider rings R with a partial action α of an infinite cyclic group G on R. We generalize the well-known results about Jacobson rings and strongly Jacobson rings in skew polynomial rings and skew Laurent polynomial rings to partial skew polynomial rings and partial skew Laurent polynomial rings.
Keywords:Jacobson ring  Partial action  Strongly Jacobson ring  Strongly prime radical
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