… 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. …

… We obtain some generalizations of Osofsky's theorem in the cases R is semiprimitive or …
Also, Cozzens and Faith [8] studied the structure of left PCI rings (ie, rings whose proper left …

… 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. …

… 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 …

… In this thesis we consider some problems and also generalize some results related to …
Right PCI-rings are right Noetherian and right hereditary. The right SI-ring and right PCI-ring …

… In noncommutative algebra, as a natural generalization of a local ring, one calls a nonzero
… Right PCI-rings are right Noetherian and right hereditary. The right SI-ring and right PCI-ring …

… 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-…

… 950] investigated projective modules over generalized quaternion algebras. Projective and
flat … Passing to generalizations of projective modules, we begin with work on quasiprojective …