The global dimension of L-R twisted smash products |
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| Authors: | P Zhang Q Li L Zhang |
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| Institution: | 1. University of International Business and Economics, Beijing Nanjing Agricultural University, Nanjing, China
2. Nanjing Agricultural University, Nanjing, China
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| Abstract: | We construct the new algebra A#H of an H-bimodule algebra A called the L-R twisted smash product, and give the duality theorem for L-R twisted smash products which extends the duality theorem for smash products given by Blattner and Montgomery. Furthermore, by using the duality theorem for L-R twisted smash products, we establish the relationship of global dimension between the H-bimodule algebra A and its L-R twisted smash product A#H. |
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