Article ID Journal Published Year Pages File Type
4586848 Journal of Algebra 2009 12 Pages PDF
Abstract

In this paper, we first study conditions under which a recollement relative to abelian categories induces a new recollement relative to abelian categories and comma categories. Then we apply our results to deduce results about recollements relative to categories of modules. Furthermore, if a ring R is Morita equivalent to S, we obtain that the upper triangular matrix ring is Morita equivalent to for an arbitrary ring T, R–T-bimodule M and S–T-bimodule N depending on M.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory