For an arbitrary left R-module M, we denote by F (M) the class of left R-modules F such that
for any exact sequence 0→ A α→ B of left R-modules and any R-homomorphism β: A→ M …

It is shown that every finitely generated projective module PR over a semiprime ring R has
the smallest FI-extending essential module extension (called the absolute FI-extending hull …

A Note on Cofinitely δ-Lifting (Supplemented) Modules Page 1 International Journal of
Algebra, Vol. 4, 2010, no. 9, 439 - 446 A Note on Cofinitely δ-Lifting (Supplemented) …

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 …

Throughout this paper all rings will be associative with identity and modules will be unital
right modules. A ring R is called right CS-ring (or extending ring) if every right ideal I in R is …

A module M is called a CS module if every submodule of M is essential in a direct summand
of M. In this paper, among other results, we prove that for a ring R with finitely generated …

In the seminal paper [1], Bass provided a number of characterizations of left perfect rings. In
the course of the proof of his" Theorem P", Bass implicitly showed that the ring R is left …

A submodule N of a right R-module M is called coneat if for every simple right R-module S,
any homomorphism $ N {\rightarrow} S $ can be extended to a homomorphism $ M …

A module M is called a CS-module or an extending module if every submodule is essential
in a direct summand of M. A ring R is called a right CS-ring or a right extending ring if R_R is …