Cubes-difference factor absorbing ideals of a commutative ring

TL;DR

This paper introduces and studies cubes-difference factor absorbing ideals in commutative rings, extending the concept of prime ideals to a broader class with new algebraic properties.

Contribution

It defines cubes-difference factor absorbing ideals and explores their properties as a generalization of prime ideals in commutative rings.

Findings

Cubes-difference factor absorbing ideals generalize prime ideals.

Characterization of these ideals in various ring contexts.

Potential applications in ring theory and algebraic geometry.

Abstract

Let $R$ be a commutative ring with. The purpose of this paper is to introduce and investigate cubes-difference factor absorbing ideals of R as a generalization of prime ideals.