H. Khashan

activity

20212025

collaborators

9 papers

math.AC2025

Semi n-submodules of modules over commutative rings

Hani Khashan, Ece Yetkin Celikel

Let $R$ be a commutative ring with identity and $M$ a unitary $R$ -module. The purpose of this paper is to introduce the concept of semi- $n$ -submodules as an extension of semi $n$ -i…

math.AC2022

Semi r-ideals of commutative rings

Hani A. Khashan, Ece Yetkin Celikel

For commutative rings with identity, we introduce and study the concept of semi $r$ -ideals which is a kind of generalization of both $r$ -ideals and semiprime ideals. A proper ideal…

math.AC2022

On Weakly S-primary Submodules

Ece Yetkin Celikel, Hani A. Khashan

Let $R$ be a commutative ring with a non-zero identity, $S$ be a multiplicatively closed subset of $R$ and $M$ be a unital $R$ -module. In this paper, we define a submodule $N$ of $…

math.AC2021

On weakly S-prime submodules

Hani A. Khashan, Ece Yetkin Celikel

Let $R$ be a commutative ring with a non-zero identity, $S$ be a multiplicatively closed subset of $R$ and $M$ be a unital $R$ -module. In this paper, we define a submodule $N$ of $…

math.AC2021

S-n-ideals of Commutative Rings

Hani Khashan, Ece Yetkin Celikel

Let $R$ be a commutative ring with identity and $S$ a multiplicatively closed subset of $R$ . This paper aims to introduce the concept of $S$ - $n$ -ideals as a generalization of $n$ -i…

math.AC2021

Weakly J-submodules of Modules over Commutative Rings

Hani A. Khashan, Ece Yetkin Celikel

Let $R$ be a commutative ring with identity and $M$ be a unitary $R$ -module. By $J (R),$ we denote the Jacobson radical of $R$ . The purpose of this paper is to introduce the concept…

math.AC2021

Quasi J-submodules

Ece Yetkin Celikel, Hani A. Khashan

Let $R$ be a commutative ring with identity and $M$ be a unitary $R$ -module. The aim of this paper is to extend the notion of quasi $J$ -ideals of commutative rings to quasi $J$ -sub…

math.AC2021

Quasi J-ideals of Commutative Rings

Hani A. Khashan, Ece Yetkin Celikel

Let $R$ be a commutative ring with identity. In this paper, we introduce the concept of quasi $J$ -ideal which is a generalization of $J$ -ideal. A proper ideal of $R$ is called a qu…

math.AC2021

Weakly J-ideals of Commutative Rings

Hani A. Khashan, Ece Yetkin Celikel

Let $R$ be a commutative ring with non-zero identity. In this paper, we introduce the concept of weakly $J$ -ideals as a new generalization of $J$ -ideals. We call a proper ideal $I$ …