In this paper,it is proved that, let M be a tubular module, then there is a tubular module N,such that End(MN) is a quasi-hereditary algebra. And in the case of M bing a indeconposable tubular module, th...In this paper,it is proved that, let M be a tubular module, then there is a tubular module N,such that End(MN) is a quasi-hereditary algebra. And in the case of M bing a indeconposable tubular module, this paper characterizes the below bound of the number of indecomposable direct summands of N.展开更多
Let R be a ring such that all left semicentral idempotents axe central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring R[[x; α]] is right p.q.Baer if and only if R is right p.q.Ba...Let R be a ring such that all left semicentral idempotents axe central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring R[[x; α]] is right p.q.Baer if and only if R is right p.q.Baer and any countable family of idempotents in R has a generalized join in I(R), where I(R) is the set of all idempotents of R.展开更多
文摘In this paper,it is proved that, let M be a tubular module, then there is a tubular module N,such that End(MN) is a quasi-hereditary algebra. And in the case of M bing a indeconposable tubular module, this paper characterizes the below bound of the number of indecomposable direct summands of N.
基金National Natural Science Foundation of China (10171082), TRAPOYT the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China
文摘Let R be a ring such that all left semicentral idempotents axe central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring R[[x; α]] is right p.q.Baer if and only if R is right p.q.Baer and any countable family of idempotents in R has a generalized join in I(R), where I(R) is the set of all idempotents of R.
