A Note on "Modules, Comodules, and Cotensor Products over Frobenius Algebras"  

作　　者：Xiaowu CHEN Hualin HUANG Yanhua WANG 

机构地区：[1]Department of Mathematics and Shanghai Institute for Advanced Studies, University of Science and Technology of China, Hefei 230026, China. [2]Department of Mathematics and Shanghai Institute for Advanced Studies, University of Science and Technology of China, Hefei 230026, China Mathematical Section, The Abdus Salam ICTP, Strada Costiera 11, Trieste 34014, Italy. [3]Institute of Mathematics, Fudan University, Shanghai 200433, China.

出　　处：《Chinese Annals of Mathematics,Series B》2006年第4期419-424,共6页数学年刊（B辑英文版）

基　　金：Project supported by AsiaLink Project "Algebras and Representations in China and Europe" ASI/B7-301/98/679-11 and the National Natural Science Foundation of China (No.10271113).

摘　　要：This is a note on Abrams＇ paper ＂Modules, Comodules, and Cotensor Products over Frobenius Algebras, Journal of Algebras＂ （1999）. With the application of Frobenius coordinates developed recently by Kadison, one has a direct proof of Abrams＇ characterization for Frobenius algebras in terms of comultiplication （see L. Kadison （1999））. For any Frobenius algebra, by using the explicit comultiplication, the explicit correspondence between the category of modules and the category of comodules is obtained. Moreover, with this we give very simplified proofs and improve Abrams＇ results on the Hom functor description of cotensor functor.

关 键 词：Frobenius coordinates Cotensor Hochschild cohomology 

分 类 号：O154.2[理学—数学]