| This paper is mainly concerned with the projectivity and the homological dimensions of twisted smash products, and the duality theorem of L-R twisted smash products. The whole paper consists of the following three chapters.In chapter1, we introduce the recent development of Hopf algebras, the research background and the main results of this paper.In chapter2, we give some projectivity properties of twisted smash products, and research the homological dimensions of twisted smash product algebras.In chapter3, we prove the duality theorem of L-R twisted smash products. |
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