内作用内余作用构造的各种Smash积  

Various Smash Products Constructed byInner Actions and Inner Coactions

作　　者：刘贵龙[1] 

机构地区：[1]中国地质大学数学教研室

出　　处：《吉林大学自然科学学报》1996年第1期9-13,共5页Acta Scientiarum Naturalium Universitatis Jilinensis

基　　金：国家自然科学基金

摘　　要：从研究由内作用、内余作用构造的各种Ｓｍａｓｈ积（包括Ｓｍａｓｈ余积，双Ｓｍａｓｈ积，ＤｏｕｂｌｅＳｍａｓｈ积，ＤｏｕｂｌｅＳｍａｓｈ余积）入手，阐明这些Ｓｍａｓｈ积具有良好的代数性质．In this paper we study various Smash products constructed by inner action and inner coaction and apply the established theory to showing the duality theorem for Hopf comodule coalgebra under the additional assumption that H is a finite dimensional Hopf algebra. We point out that Smashproducts constructed by inner action and inner coaction have many nice properties.

关 键 词：内作用 内余作用 SMASH积 郝普夫代数 

分 类 号：O151.2[理学—数学]