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Details for article 3 of 22 found articles
| Title: |
Blattner-Cohen-Montgomery's Duality Theorem for (Weak) Group Smash Products |
| Author: |
Shen, Bing-Liang Wang, Shuan-Hong |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 6 pages 2387-2409 |
| Year: |
2008-06 |
| Contents: |
We first prove the fundamental theorem for (weak) relative Hopf group-comodules in this article. Secondly, we introduce the notion of a (weak) group smash product and give a sufficient and necessary condition under which (weak) group smash product algebras and the usual tensor product coalgebra become a (weak) semi-Hopf group-coalgebra. Furthermore, we get a sufficient condition for (weak) group smash product algebras to be semisimple. Finally, we prove an analog of the Blattner-Cohen-Montgomery's duality theorem for (weak) group smash products: For any (weak) π-H-module algebra A, there is a canonical isomorphism between the algebras [image omitted] and End(A # Hα)A. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 3 of 22 found articles
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