M
Michael A. Dokuchaev
Researcher at University of São Paulo
Publications - 57
Citations - 1435
Michael A. Dokuchaev is an academic researcher from University of São Paulo. The author has contributed to research in topics: Group ring & Abelian group. The author has an hindex of 18, co-authored 57 publications receiving 1348 citations. Previous affiliations of Michael A. Dokuchaev include University of Alberta.
Papers
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Associativity of crossed products by partial actions, enveloping actions and partial representations
Michael A. Dokuchaev,Ruy Exel +1 more
TL;DR: In this paper, the cross product A × α G is shown to be associative, provided that A is semiprime and that G is a cross product of a partial action of a group on an associative algebra.
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Associativity of crossed products by partial actions, enveloping actions and partial representations
Michael A. Dokuchaev,Ruy Exel +1 more
TL;DR: In this paper, the authors studied the associativity of partial actions of groups on algebras and partial representations, and showed that a partial action of a group on an associative algebra G is associative, provided that all ideals of A are idempotent.
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Partial actions and Galois theory
TL;DR: In this article, a Galois theory of commutative rings under partial actions of finite groups was developed, extending the well-known results by S.U. Chase, D.K.Harrison and A.Rosenberg.
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Partial Representations and Partial Group Algebras
TL;DR: In this paper, the authors studied the structure of the partial group algebra K par (G) where G is a finite group and showed that if the characteristic of K does not divide the order of G 1, then K par(G 1 ) is isomorphic to G 2 if and only if G 1 is isomorphized to G2.
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Crossed products by twisted partial actions and graded algebras
TL;DR: For a twisted partial action Θ of a group G on an associative non-necessarily unital algebra A over a commutative unital ring k, the crossed product A ⋊ Θ G is proved to be associative as discussed by the authors.