Abstract
In this article, we study tensor product rings where QR and
are R-modules for an associative ring R, and Rees matrix rings
We will show that if S is an idempotent ring then a pseudo-surjectively defined tensor product ring
is Morita equivalent to S and that an idempotent Rees matrix ring is Morita equivalent to its ground ring R. We will prove that for an idempotent Rees matrix ring there exists a strictly locally isomorphic tensor product ring. It is shown that, under some assumptions, a tensor product ring is isomorphic to a certain subring of the ring of adjoint endomorphisms.
2020 Mathematics Subject Classification:
Acknowledgement
I would like to express my gratitude to professor Valdis Laan and professor Mart Abel for several useful comments and suggestions.