Square-difference factor absorbing ideals of a commutative ring
David F. Anderson, Ayman Badawı, Jim Coykendall
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.
Topics & Concepts
MathematicsSquare (algebra)Commutative ringPure mathematicsRing (chemistry)Noncommutative ringFactor (programming language)Principal ideal ringPolynomial ringCommutative propertyMathematical analysisGeometryPolynomialChemistryComputer scienceOrganic chemistryProgramming languageRings, Modules, and AlgebrasAdvanced Topics in AlgebraCommutative Algebra and Its Applications