Let $\mathcal {H} _0 $ be the set of rings $ R $ such that $ Nil (R)= Z (R) $ is a divided prime
ideal of $ R $. The concept of maximal non $\phi $-chained subrings is a generalization of …

A ring R is called a left (right) SF-ring if simple left (right) R-modules are flat. It is still
unknown whether a left (right) SF-ring is von Neumann regular. In this paper, we give some …

The aim of this paper is to prove the following result. If A is a fight pure semisimple ring, then
it satisfies one of the two following statements:(a) For any positive integer n, there are at …

For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if,
whenever N+ X= M with M/X singular, we have X= M. If there exists an epimorphism p: P→ M …

Let R be a ring. Let m and n be positive integers, a right R-module M is called (m, n)-small
injective, if every right R-homomorphism from an n-generated submodule of Jm to M extends …

arXiv:1604.07656v1 [math.AC] 26 Apr 2016 Page 1 arXiv:1604.07656v1 [math.AC] 26 Apr 2016
ON (k, n)-CLOSED SUBMODULES ECE YETKIN CELIKEL Abstract. Let R be a commutative ring …

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) …

Absolutely E-pure modules and E-pure split modules Page 1 Acta Mathematica Scientia
2011,31B(1):207–220 http://actams.wipm.ac.cn ABSOLUTELY E-PURE MODULES AND E-PURE …

In 2005, Enochs, Jenda, and López-Romos extended the notion of perfect rings to n-perfect
rings such that a ring is n-perfect if every flat module has projective dimension less than or …

Abstract Let\(R\) be a ring, let\(M\) be a left\(R\)-module, and let\(U, V, F\) be submodules
of\(M\) with\(F\) proper. We call\(V\) an\(F\)-supplement of\(U\) in\(M\) if\(V\) is minimal in the …