Geodesic
The duality theorem for twisted smash products of Hopf algebras and its applications
Zhongwei Wang 1   ; Liangyun Zhang 2
1 Department of Basic Science Jinling Institute of Technology Nanjing 210069, P.R. China
2 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China
Colloquium Mathematicum, Tome 141 (2015) no. 1, pp. 25-44 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $A\mathbin {\#_T}H$ 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 $A\mathbin {\#_T}H$, and as an application we establish the relationship between the homological dimensions of $A\mathbin {\#_T}H$ and $A$ if $H$ and its dual $H^*$ are both semisimple.
DOI : 10.4064/cm141-1-3
Keywords: mathbin denote twisted smash product arbitrary algebra hopf algebra field present analogue celebrated blattner montgomery duality theorem mathbin application establish relationship between homological dimensions mathbin and its dual * semisimple

Zhongwei Wang  1   ; Liangyun Zhang  2

1 Department of Basic Science Jinling Institute of Technology Nanjing 210069, P.R. China
2 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China 
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Zhongwei Wang; Liangyun Zhang. The duality theorem for twisted smash products
 of Hopf algebras and its applications. Colloquium Mathematicum, Tome 141 (2015) no. 1, pp. 25-44. doi: 10.4064/cm141-1-3

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