Square-difference factor absorbing ideals of a commutative ring

2024/02/28 by Anderson, David F., Badawi, Ayman, Coykendall, Jim · 1 citation
#13A15 #13F05 #13G05 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.18704

Abstract

Let R be a commutative ring with 1 ≠ 0. A proper ideal I of R is a \it square-difference factor absorbing ideal (sdf-absorbing ideal) of R if whenever a² - b² ∈ I for 0 ≠ a, b ∈ R, then a + b ∈ I or a - b ∈ I. In this paper, we introduce and investigate sdf-absorbing ideals.

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