On rings whose quasi-injective modules are injective or semisimple

B Saraç - Journal of Algebra and its Applications, 2022 - World Scientific
Two obvious classes of quasi-injective modules are those of semisimples and injectives. In
this paper, we study rings with no quasi-injective modules other than semisimples and …

The isomorphism problem for basic modules and the divisibility profile of the algebra of polynomials

P Aydoğdu, CA Arellano, SR López-Permouth… - Revista de la Real …, 2024 - Springer
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 …

Rings without a middle class from a lattice-theoretic perspective

B Saraç, SR López-Permouth… - Mediterranean Journal of …, 2020 - Springer
We further the study of rings with no middle class by focusing on an interpretation of that
property in terms of the lattice of hereditary pretorsion classes over a given ring. For non …

On the Splitting Property of Rings with Restricted Class of Injectivity Domains

B Saraç - 2023 - researchsquare.com
There has been a growing research interest in exploring rings whose modules are either
injective or far from being injective to a specified degree. As is commonly observed in each …

On Rings whose Quasi Projective Modules Are Projective or Semisimple

N Orhan Ertaş, U Acar - 2021 - acikerisim.mu.edu.tr
For two modules M and N, PM (N) stands for the largest submodule of N relative to which M
is projective. For any module M, PM (N) defines a left exact preradical. It is given some …

[PDF][PDF] Noetherian rings with small profiles

B Saraç, SR López-Permouth - leroy.perso.math.cnrs.fr
Noetherian rings with small profiles Page 1 Noetherian rings with small profiles (joint with SR
López-Permouth) Bülent Saraç Hacettepe University NCRA, VII, 5-7th July 2021 Bülent Saraç …

[引用][C] On Rings Whose Quasi-Projective Modules Are Projective or Semisimple

NO Ertas, U Acar - Communications in Mathematics and …, 2021 - RGN Publications