Prime Structures in a Morita Context
Rings and Algebras
2022-10-04 v1
Abstract
In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal. In particular, we determine the conditions under which a Morita context is prime and semiprime.
Cite
@article{arxiv.1812.02920,
title = {Prime Structures in a Morita Context},
author = {Mete Burak Calci and Sait Halicioglu and Abdullah Harmanci and Burcu Ungor},
journal= {arXiv preprint arXiv:1812.02920},
year = {2022}
}