交叉双积的研究(英文)  

A Research in the Crossed Biproducts

作　　者：任北上[1] 班秀和[1] 李碧荣[1] 

机构地区：[1]广西师范学院数学与计算机科学系,广西南宁530001

出　　处：《广西师院学报（自然科学版）》2001年第4期28-35,共8页Journal of Guangxi Teachers College(Natural Science Edition)

基　　金：TheworkwassupportedbyNSFofGuangxiNormalCollege.

摘　　要：提出了双代数上的余模余代数的内余作用和交叉双积的概念 ,给出了交叉余积的一些性质及由内余作用诱导的交叉余积的构造方法 ,还给出了交叉双积的一些性质。该文推广、发展了S .Montgomery等人的结果。In this paper , concepts of crossed coproducts and inner coactions of comodule coalgebras over bialgebras are introduced. Also the characterizations for crossed coproducts and the method of constructions of crossed coproducts induced by inner coaction are given.Moreover we give some characterizations for crossed biproducts.This paper generalizes and develops the results of S.Montgomery et. al.

关 键 词：双代数 余模余代数 内余作用 交叉双积 交叉余积 

分 类 号：O153.3[理学—数学]