On the weak-injectivity profile of a ring
P Aydoğdu, SR López-Permouth… - Bulletin of the Malaysian …, 2021 - Springer
… We can generalize this result to a right uniform right bounded … The archetype of right QI
rings are the right PCI rings. A right … of symmetry conjecture of PCI rings is weak semisimplicity. …
rings are the right PCI rings. A right … of symmetry conjecture of PCI rings is weak semisimplicity. …
On rings whose quasi-injective modules are injective or semisimple
B Saraç - Journal of Algebra and its Applications, 2022 - World Scientific
… rings (rings whose simple right modules are injective), right PCI-rings (rings for which every
proper cyclic right module is injective)… We generalize this result with the following proposition. …
proper cyclic right module is injective)… We generalize this result with the following proposition. …
Rings over which cyclic modules are almost self-injective
S Singh - … , Homological and Combinatorial Methods in Algebra, 2020 - books.google.com
… Faith [ 4 ] studied rings over which all proper cyclic right modules are injective, known as
right PCI -rings, whereas Levy [ 11 ] obtained the structure of commutative noetherian rings …
right PCI -rings, whereas Levy [ 11 ] obtained the structure of commutative noetherian rings …
When proper cyclics are homomorphic image of injectives
ET Meriç - Communications in Algebra, 2021 - Taylor & Francis
… Right PCI-rings of Faith [Citation6] are rings that are not right self-injective but satisfy the
said … Right PCI-rings can be given as an example of rings which satisfies (P) but not right self-…
said … Right PCI-rings can be given as an example of rings which satisfies (P) but not right self-…