Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous to δsupplemented modules and principally⊕ …

In this work, we define weakly g-supplemented modules and cofinitely weak g-
supplemented modules. We investigate some properties of these modules. We show that the …

This paper introduce and investigate the notion of FI− M− principally injective and FI− semi-
injective (fully invariant-semi injective) modules. Clearly FI− semi-injective module does not …

Let M be a right R-module. A right R-module N is called small principally M-injective (briefly,
SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N …

SUBTRACTIVE PARTIAL Γ-SUBSEMIMODULES OF PARTIAL Γ-SEMIMODULES In 1995,
M Murali Krishna Rao [3] developed the thory of Γ-semi Page 1 ADV MATH SCI JOURNAL …

Over an arbitrary ring, a module $ M $ is said to be $\scr {Z^{\ast}} $-semilocal if every
submodule $ U $ of $ M $ has a $\scr {Z^{\ast}} $-supplement $ V $ in $ M $, ie, $ M= U+ V …

A module M is called ss-semilocal if every submodule U of M has a weak supplement V in M
such that U∩ V is semisimple. In this paper, we provide the basic properties of ss-semilocal …

In this paper, we explore some beautiful property of FI-semi injective modules and FI-self p-
injective ring. Also, discussed various characterizations of FI-semi injective modules in terms …

Let R be a ring and M be a right R-module. In this paper we will study various properties of
amply weak semisimple-supplemented module. It is shown that:(1) every projective weakly …

In this paper, the concept of almost self-projective semimodule has been introduced as a
generalization of almost projective, and some characterization of this notion has been …