This work aims to contribute to the study of rings in terms of their simple modules. Vast
research has been done in this direction to investigate rings whose simple modules are all …

While mutual congeniality of bases is known to guarantee that basic modules from so-
related bases are isomorphic, the question of what can be said about isomorphism of basic …

Abstract Given modules $ A_ {R} $ and $ _ {R} B $, $ _ {R} B $ is called absolutely $ A_ {R}
$-pure if for every extension $ _ {R} C $ of $ _ {R} B $, $ A\otimes B\rightarrow A\otimes C …

We generalize to exact categories some new perspectives on projectivity, which allow us to
unify a series of recent concepts from module categories or abelian categories and to obtain …