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math.AC2020
Bounded and finite factorization domains
David F. Anderson, Felix Gotti
An integral domain is atomic if every nonzero nonunit factors into irreducibles. Let be an integral domain. We say that is a bounded factorization domain if it is atomic an…
math.AC2020
On n-semiprimary Ideals and n-pseudo Valuation Domains
David F. Anderson, Ayman Badawi
In this paper, we introduce the concept of n-semiprimary ideals, n-powerful ideals, and n-powerful semiprimary ideals of commutative rings. We study these concepts and relate them…