This unique and comprehensive volume provides an up-to-date account of the literature on
the subject of determining the structure of rings over which cyclic modules or proper cyclic …

The object of this article is associate to automorphism-invariant modules that are invariant
under any automorphism of their injective hulls with cyclic modules and cyclic modules have …

In this paper, we give a complete characterization of Leavitt path algebras which are graded
Σ-V rings, that is, rings over which a direct sum of arbitrary copies of any graded simple …

It is known that every essential extension of a direct sum of injective hulls of simple R-
modules is a direct sum of injective R-modules if and only if the ring R is right noetherian …

In a recent paper Carl Faith introduced the right CSI rings, namely, rings over which injective
hulls of cyclic right modules are Σ-injective. It is not known whether a right CSI ring is right …

This survey article addresses the classical questions on determining rings whose cyclic
modules or proper cyclic modules have a certain homological property, chain condition, or a …

Carl Faith in 2003 introduced and investigated an interesting class of rings over which every
cyclic right module has Σ-injective injective hull (abbr., right CSI-rings). Inspired by this we …

Carl Faith (2003) introduced and investigated an interesting class of rings over which every
cyclic right module has Σ-injective injective hull (abbr., right CSI-rings). Inspired by this we …

The study of rings over which the direct sums of modules have certain properties is a well
recognized topic for research in Ring Theory and Homological Algebra. In this dissertation …

In this paper, we give a complete characterization of Leavitt path algebras which are graded
Σ-V rings, that is, rings over which direct sum of arbitrary copies of any graded simple …