Generalized Crossed Pro ducts and L-R Smash Pro ducts of Multiplier Hopf Algebras  

作　　者：ZHAO Li-hui WANG Cai-hong 

机构地区：[1] School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2] College of Math-ematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

出　　处：《Chinese Quarterly Journal of Mathematics》2014年第2期283-291,共9页数学季刊（英文版）

基　　金：Foundation item： Supported by the Scientific Research Foundation for Doctoral Scientists of Henan University of Science and Technology（09001303）; Supported by the National Natural Science Foundation of China（11101128）

摘　　要：In this paper we generalize the notions of crossed products and L-R smash products in the context of multiplier Hopf algebras. We use comodule algebras to define generalized diagonal crossed products, L-R smash products, two-sided smash products and two-sided crossed products and prove that they are all associative algebras. Then we show the isomorphic relations of them.

关 键 词：multiplier Hopf algebra diagonal crossed product L-R smash product two-sided smash product two-sided crossed product 

分 类 号：O151.21[理学—数学]