摘要
XST-环的概念于1999年由Garcia和Marin[1]引进.本文主要研究XST-环的Morita-Like等价.证明了在环R中,由两个右q-稠密的XST-环确定的两个完全可加的范畴是同构的.通过描述生成元AM的自同态环End(AM)的q-稠密右理想和稠密右理想的关系,得到了,对于有单位元的环A而言,位于FM (A)和FC (A)间的中间矩阵环上的所有完全可加范畴是同构的.如此,扩张了中间矩阵环的Morita-Like等价链[2].再则,改进了文[1]中的主要结果,刻画了一个右XST-环Morita-Like等价于一个有单位元的环的条件.
The concept of the right XST-rings was introduced by Garcia and MarinW in 1999. In this paper, the authors show that two complete additive categories determined by two subrings of ring R which are right XST-rings are isomorphic. Through describing the relationship between the g-dense right ideal and the dense right ideal of End(yiM) for a generator AM over a unital ring A, the authors obtain that all the complete additive categories over the intermediate matrix rings lying FMr(A) and FCr(A) are isomorphic. Moreover, it is extend the Morita-Like equivalence chain for intermediate matrix rings[2], and improve the main results obtained by Garcia and marin[1]
出处
《数学年刊（A辑）》
CSCD
北大核心
2003年第1期67-72,共6页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.19871025)资助的项目
