In this paper, we offer a graded equivalence between the quotient categories defined by any graded Morita-Takeuchi context via certain modifications of the graded cotensor functors. As a consequence, we show a commuta...
supported by the National Natural Science Foundation of China(Grant No.19971028);the Natural Science Foundation of Guangdong Province(Grant No.000463,021073 and z02017)
We characterize the lattice of all ideals of a Morita ring (semigroup) when the corresponding pair of rings (semigroups) in the Morita context are Morita equivalent s-unital (like-unitv) rings (semigroups).
The notion of the xst-rings was introduced by García and Marín [5] in 1999. In this paper, we consider Morita context, Morita-like equivalence and the exchange property for the xst-rings. The results of the first Mo...
supported by National Natural Science Foundation of China(10171082);Foundation for University Key Teacher;the Ministry of Education(GG-110-10736-1001)
Let A,B be associative rings with identity,and(S.≤)a strictly totally ordered monoid which is also artinian and finitely generated.For any bimodule AaMB. we show that the bimodule [[A^(S.≤)]][M^(S.≤)][[B^(S.≤)]]de...