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20132025
most citedSquare-difference factor absorbing ideals of a commutative ring

1 citations · 1 across the 11 of their papers we have counts for

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math.AC2024

Norms, Normsets, and Factorization

Jim Coykendall, Richard Erwin Hasenauer

We present a development of norms and discuss their relationship to factorization. In earlier work, the first named author introduced the notion of a normset, which is the image of…

math.AC2024

Atomicity in integral domains

Jim Coykendall, Felix Gotti

In algebra, atomicity is the study of divisibility by and factorizations into atoms (also called irreducibles). In one side of the spectrum of atomicity we find the antimatter alge…

math.AC2024★ 1 cited

Square-difference factor absorbing ideals of a commutative ring

David F. Anderson, Ayman Badawi, Jim Coykendall

Let be a commutative ring with . A proper ideal of is a {\it square-difference factor absorbing ideal} (sdf-absorbing ideal) of if whenever $a^2 - b^2 \in…