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Gorenstein global dimensions and representation dimensions for L-R smash products. (English) Zbl 1305.16027

Summary: Let \(H\) be a Hopf algebra and \(A\) an \(H\)-bimodule algebra. This paper investigates Gorenstein global dimensions and representation dimensions of L-R smash products \(A\#H\). Several well-known results are generalized.

MSC:

16T05 Hopf algebras and their applications
16S40 Smash products of general Hopf actions
16E10 Homological dimension in associative algebras
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