弱左Frobenius双模与comatrix余环  

Weak Left Frobenius Bimodule and Comatrix Coring

作　　者：郭广泉[1] 

机构地区：[1]南京晓庄学院数学系,江苏南京210017

出　　处：《南京晓庄学院学报》2008年第3期1-3,7,共4页Journal of Nanjing Xiaozhuang University

基　　金：南京晓庄学院理科科研项目(2005NXY13)

摘　　要：文章推广Frobenius双模的概念,定义了弱左Frobenius双模.给出了双模BMA是弱左Frobenius双模的充分与必要条件,并且研究了弱左Frobenius双模BMA的自同态环和comatrix余环.This paper defines the notion of a weak left Frobenius bimodule, which generizes the notion of a Frobenius bimodule. It is found that the necessary and sufficient condition for a bimodule to be weak left Frobenius. The comatrix coring and the endomorphism ring of weak left Frobenius bimodule SMA are also studied.

关 键 词：弱左Frobenius双模 左拟Frobenius余环 comatrix余环 

分 类 号：O153.3[理学—数学]