Gorenstein global dimensions for Hopf algebra actions

Document Type : Research Paper

Authors

1 Department of Mathematics, Nanjing Agricultural University

2 Department of Economic Management, Nanjing College of Chemical Technology

Abstract

Let $H$ be a Hopf algebra and $A$ an $H$-bimodule algebra‎. ‎In this paper‎, ‎we investigate Gorenstein global dimensions for Hopf‎ ‎algebras and twisted smash product algebras $A\star H$‎. ‎Results from‎ ‎the literature are generalized‎. 

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