Square-difference factor absorbing ideals of a commutative ring
Abstract
Let R be a commutative ring with 1 ≠ 0. A proper ideal I of R is a 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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