%0 Journal Article %T Hom-弱Hopf代数上的Hom-smash积<br>HOM-SMASH PRODUCTS OVER HOM-WEAK HOPF ALGEBRAS %A 作者 %A 郑乃峰 %J 数学杂志 %D 2017 %X 本文研究了在Hom-Hopf代数上引入Hom-弱Hop代数的问题.通过建立弱左H-模Hom-代数的方法,构造Hom-smash积,证明Hom-smash积是Hom-代数,且给出使之成为Hom-弱Hopf代数的充分条件,推广了由Bohm等人定义的弱Hop代数.<br>In this paper, we study the concept of weak Hopf algebras over Hom-Hopf algebras. Using the method of establishing weak left H-module Hom-algebras, we construct Hom-smash product and demonstrate that Hom-smash product is a Hom-algebra and Hom-weak Hopf algebra, which generalizes weak Hopf algebra introduced by Bohm etc. %K Hom-弱Hopf代数 弱左H-模Hom-代数 Hom-smash积< %K br> %K Hom-weak Hopf algebra weak left H-module Hom-algebra Hom-smash product %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170425&flag=1