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Partial crossed products and Goldie rings. (English) Zbl 1357.16041

Summary: In this paper we consider the transfer of the property of being a left Goldie ring between a ring \(A\) and its partial crossed product \(A\ast_\alpha G\) by a twisted partial action \(\alpha\) of a group \(G\) on \(A\).

MSC:

16S35 Twisted and skew group rings, crossed products
16W22 Actions of groups and semigroups; invariant theory (associative rings and algebras)
16P60 Chain conditions on annihilators and summands: Goldie-type conditions
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