JP Journal of Algebra, Number Theory and Applications
Volume 35, Issue 1, Pages 15 - 23
(November 2014)
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PARTIAL SKEW GROUP RINGS AND APPLICATIONS TO MODULES
Jesús Ãvila and João Lazzarin
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Abstract: In this paper, we consider partial actions of groups on rings and invariant subrings under partial actions. After some general results we study the transference of properties from modules over R to modules over and Particularly, we prove that the Krull dimension of exists iff the Krull dimension of exists, is Noetherian iff is Noetherian, is Artinian which implies is Artinian (similarly to the semisimplicity). Finally, we extend the partial Maschke theorem ([4], Theorem 3.2) to bimodules. |
Keywords and phrases: partial action, partial skew group ring, partial fixed ring. |
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