The paper proposes a novel metaheuristic based on integrating chaotic maps into a Henry
gas solubility optimization algorithm (HGSO). The new algorithm is named chaotic Henry …

In this article, we introduce S-multiplication modules which are a generalization of
multiplication modules. Let M be an R-module and S⊆ R a multiplicatively closed subset. M …

Let R be a commutative ring with nonzero identity and, S⊆ R be a multiplicatively closed
subset. An ideal P of R with P∩ S=∅ is called an S-prime ideal if there exists an (fixed) s∈ S …

In this article, we introduce the concepts of graded $ s $-prime submodules which is a
generalization of graded prime submodules. We study the behavior of this notion with …

This paper aims to introduce 2-absorbing $\phi $-$\delta $-primary ideals over commutative
rings which unify the concepts of all generalizations of 2-absorbing and 2-absorbing primary …

In this paper, we introduce and study a new class of submodules which unify the concepts of
prime and primary submodules. Let M be a unital module over a commutative ring R, ϕ: L …

Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper,
we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime …

This paper establishes necessary and sufficient conditions for a bi-amalgamation to inherit
the S-Noetherian property. The new results compare to previous works carried on various …

Let R be a commutative ring with identity, S a multiplicatively closed subset of R, and M be
an R-module. The aim of this article is to introduce and investigate some properties of the …

Let $ R $ be a commutative ring with identity, $ S $ a multiplicatively closed subset of $ R $,
and $ M $ be an $ R $-module. In this paper, we study and investigate some properties of …