Let (R, m) be a local ring and C be a semidualizing module such that C≅ Hom R (M, R) for
some finitely generated R-module M. We study some properties of M and C. It is shown that …

In this paper, we introduce the notion of c-co-epi-retractable modules. An R-module M is
called c-co-epi-retractable if it contains a copy of its factor module by a complement …

Rad-injective and Almost-injective Modules and Rings Page 1 Algebra Colloquium c© 2011
AMSS CAS & SUZHOU UNIV Algebra Colloquium 18 : 3 (2011) 411–418 Rad-injective and …

Let $ R $ be a ring and $ M $ be an $ R $-module. In this paper we investigate modules $ M
$ such that every (simple) cosingular $ R $-module is $ M $-projective. We prove that every …

Let R be a commutative ring. It is well known that any artinian module is co-hopfian and any
artinian module is mono-correct, but the converse is not true. Furthermore, commutative …

Let $ R $ be a ring and $ M $ a right $ R $-module with $ S= End_R (M) $. A module $ M $ is
called semi-projective if for any epimorphism $ f: M\rightarrow N $, where $ N $ is a …

Abstract Let Λ _ (0, 0)=\left (A\;\;\;\;\;\;\; _A N_B _B M_A\;\;\;\; B\cr\right) Λ (0 0)=(AANBBMAB)
be a Morita ring, where the bimodule homomorphisms ϕ and ψ are zero. We study the finite …

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 …

Let R be a commutative ring with a nonzero identity and M an R-module. Set ϕ-tor (M)={x∈
M| sx= 0 for some s∈ R∖ Nil (R)}, if ϕ-tor (M)= M then M is called a ϕ-torsion module. An R …