This article is cited in 2 papers

RESEARCH ARTICLE

Quasi-duo partial skew polynomial rings

Wagner Cortes^a, Miguel Ferrero^a, Luciane Gobbi<sup>b

a</sup> Instituto de Matematica Universidade Federal do Rio Grande do Sul 91509-900, Porto Alegre, RS, Brazil
^b Centro de Ciencias Exatas e Naturais Universidade Federal de Santa Maria 97105-900, Santa Maria, RS, Brazil

Abstract: In this paper we consider rings $R$ with a partial action $\alpha$ of $\mathbb Z$ on $R$. We give necessary and sufficient conditions for partial skew polynomial rings and partial skew Laurent polynomial rings to be quasi-duo rings and in this case we describe the Jacobson radical. Moreover, we give some examples to show that our results are not an easy generalization of the global case.

Keywords: partial action; quasi-duo; Jacobson radical; partial skew polynomial rings.

MSC: 16S36, 16S35

Received: 13.10.2011
Revised: 13.10.2011

Language: English

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