Work

Square-difference factor absorbing ideals of a commutative ring

Year: 2025

Type: article

Abstract: Let [Formula: see text] be a commutative ring with [Formula: see text]. A proper ideal [Formula: see text] of [Formula: see text] is a square-difference factor absorbing ideal (sdf-absorbing ideal) of [Formula: see text] if whenever [Formula: see text] for [Formula: see text], then [Formula: see text] or [Formula: see text]. In this paper, we introduce and investigate sdf-absorbing ideals.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498826501987

Authors: David F. Anderson, Ayman Badawi, Jim Coykendall

Institutions: University of Tennessee at Knoxville, American University of Sharjah, Clemson University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4408311526

FWCI: 24.49

Cites:

Cited by: 7

Related to: 10