Crossed Products by Twisted Partial Actions: Separability,Semisimplicity, and Frobenius Properties |
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| Authors: | Dirceu Bagio João Lazzarin |
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| Institution: | Departamento de Matemática , Universidade Federal de Santa Maria , Santa Maria , Brazil |
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| Abstract: | In this article, we are concerned with the crossed product S = R☆α G by a twisted partial action α of a group G on a ring R. We give necessary and sufficient (resp., sufficient) conditions for S to be a separable (resp., Frobenius, semisimple) extension of R. |
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| Keywords: | Crossed product Frobenius extension Semisimple extension Separable extension Twisted partial action |
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