Let R be a ring with identity and let M be a left R-module. M is called J-semiregular module if
every cyclic submodule of M is J-lying over a projective summand of M, The aim of this paper …

Let R be an associative ring with identity and let M be right R-module M is called μ-semi
hollow module if every finitely generated submodule of M is μ-small submodule of M The …

Let R be any ring with identity and let M be aunitary left R-module The aim of this paper is to
introduce G-Rad µ-semiregular module as a generalization of µ-semiregular module, M is …

Let R be a Γ-ring and G be a R Γ-module. Aproper R Γ-submodule E of G is said to be S-
prime (S-semiprime) RΓ-submodule of G whenever μ (K)⊆ E (μ (m) γ μ (m) E), for some K be …

Let R be associative ring with unit element and X be unitary right R-module. In this work, we
introduce the definition of the concept small-essentially pseudo injective module (shortly, S …

Let R be commutative ring with identity and all module are (left) unitary R-module. An R-
module M is saidi to be almost regular (for short A-regular) module if every submodule is …

The present study introduces the concept of J-pure submodules as a generalization of pure
submodules. We study some of its basic properties and by using this concept we define the …

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 …

Through this paper R represent a commutative ring with identity and all R-modules are
unitary left R-modules. In this work we consider a generalization of the class of essential …

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 …