In this paper, we introduce locally F-semiregular, locally δ-semiregular and locally finitely δ-
supplemented modules and investigate some properties of these new classes of modules …

The first part of this paper investigates the structure of δ-local modules. We prove that the
following statements are equivalent for a module M:(i) M is δ-local;(ii) M is a coatomic …

A Note on Primary and Weakly Primary Submodules Page 1 EUROPEAN JOURNAL OF PURE
AND APPLIED MATHEMATICS Vol. 9, No. 1, 2016, 48-56 ISSN 1307-5543 –www.ejpam.com A …

In this study we give simple different properties of generalized weakly δ-supplemented
modules that characterized in [7]. And we also define generalized δ-coclosed submodule of …

Let R be an associative ring with identity and let M be a left R-module. As a generalization of
µ-semiregular modules, we introduce an F-µ-semiregular module. Let F be a submodule of …

Let R be an associative ring with identity and let M be a left R-module. As a generalization of
μ-semiregular modules, we introduce an F-μ-semiregular module. Let F be a submodule of …

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 …

In this paper we study M-small principally injective (in short, M-sp-injective) module which is
the generalization of M-principally injective module. We prove that if M is finite dimensional …

In this paper, the" relative" version of semi-projectivity is considered. Let M and N be
modules. N is called M-semi-projective, if any homomorphism from N to an M-cyclic …

Let $\cal F $ be a left Gabriel topology on a ring $ R $ and $\cal X $ be a special class of left
$ R $-modules (for example, the class of all quasi-continuous left $ R $-modules in $\sigma …