The duality theorem for twisted smash products of Hopf algebras and its applications
Zhongwei Wang ; Liangyun Zhang
Colloquium Mathematicae, Tome 139 (2015), p. 25-44 / Harvested from The Polish Digital Mathematics Library
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Let ATH denote the twisted smash product of an arbitrary algebra A and a Hopf algebra H over a field. We present an analogue of the celebrated Blattner-Montgomery duality theorem for ATH, and as an application we establish the relationship between the homological dimensions of ATH and A if H and its dual H* are both semisimple.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:283976 
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Zhongwei Wang; Liangyun Zhang. The duality theorem for twisted smash products of Hopf algebras and its applications. Colloquium Mathematicae, Tome 139 (2015) pp. 25-44. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm141-1-3/