Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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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  • Receive Date 30 May 2012
  • Revise Date 10 March 2013
  • Accept Date 11 March 2013