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  • 1.
    Nystedt, Patrik
    et al.
    University West, Department of Engineering Science, Division of Mechanical Engineering and Natural Sciences.
    Öinert, Johan
    Lund University, Centre for Mathematical Sciences.
    Outer Partial Actions and Partial Skew Group Rings2015In: Canadian Journal of Mathematics - Journal Canadien de Mathematiques, ISSN 0008-414X, E-ISSN 1496-2479, Vol. 67, no 5, p. 1144-1160Article in journal (Refereed)
    Abstract [en]

    We extend the classicial notion of an outer action α of a group G on a unital ring A to the case when α is a partial action on ideals, all of which have local units. We show that if α is an outer partial action of an abelian group G, then its associated partial skew group ring A⋆αG is simple if and only if A is G-simple. This result is applied to partial skew group rings associated with two different types of partial dynamical systems.

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