Throughout this paper, R denotes an associative ring with identity and all modules are
unitary. A right R-module M is called principally injective briefly, p-injective) if for any …

A ring R is called a right C-injective ring if every homomorphism from a closed right ideal of
R to RR can be extended to one from RR to RR. It is clear that a right CS ring must be right C …

The modules (rings) satisfying acc on certain submodules investigated in [2] and various
important properties of Noetherian modules and rings can be generalized to modules and …

Let R be a commutative Noetherian ring, I an ideal of R, and M an arbitrary R-module. It is
shown that the R-module is finitely generated, for all i≥ 0, if and only if the R-module is …

The notion of simple-direct-injective modules which are a generalization of injective
modules unifies C2 and C3-modules. In the present paper, we introduce the notion of the …

In this paper, we obtain the structure of the endomorphism rings of nonsingular semiperfect
progenerator uniform CS modules with uniform submodule. It is shown that such rings are …

A module M is called finendo (cofinendo) if M is finitely generated (respectively, finitely
cogenerated) over its endomorphism ring. It is proved that if R is any hereditary ring, then the …

The first part of this paper introduces and studies the class of strongly nonnil-coherent rings,
a subclass of the already defined and studied class of nonnil-coherent rings. Contrary to the …

G sub n hyphen coherent rings in various ways comma using G sub n hyphen flat comma G
sub n hyphen injective modules and cotorsion theory period 1 period.. Introduction A ring R …

In this paper, we characterize strongly right C 2-rings in terms of finite-direct-injective
modules which is a generalization of direct-injective modules (or C 2-modules). Using this …