Smash 积与二重 Smash 积的性质

Properties of Smash Product and Double Smash Product

本文首先给出Ｓｍａｓｈ积Ａ＃Ｈ的半单性与半素性条件，后给出二重Ｓｍａｓｈ积与二重Ｓｍａｓｈ余积间的对偶关系，从而得到量子偶Ｄ（Ｈ）的对偶Ｄ（Ｈ）ｏ为二重Ｓｍａｓｈ余积．同时指出一个错误．

We give the conditions of smash product A#H being semisimple and semipreme, and give the dual relation between double smash product and double smash coproduct. Thus it proves that the duality of Drinfeld double is smash coproduct. We also find and point out an error.