Modules whose countably generated submodules are epimorphic images
Modules with semiregular endomorphism rings
We characterize the semiregularity of the endomorphism ring of a module with respect to the ideal of endomorphisms with large kernel, and show some new classes of modules with semiregular endomorphism rings.
Monoid rings that are firs.
It is well known that the monoid ring of the free product of a free group and a free monoid over a skew field is a fir. We give a proof of this fact that is more direct than the proof in the literature.
More examples of invariance under twisting
The so-called “invariance under twisting” for twisted tensor products of algebras is a result stating that, if we start with a twisted tensor product, under certain circumstances we can “deform” the twisting map and we obtain a new twisted tensor product, isomorphic to the given one. It was proved before that a number of independent and previously unrelated results from Hopf algebra theory are particular cases of this theorem. In this article we show that some more results from literature are particular...
More on matrix near-rings.
More on the Schur group of a commutative ring.
Most abelian p-groups are determined by the Jacobson radical of their endomorphism rings.
Multiparameter quantum function algebra at roots of 1.