9 citations · 11 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…
Completely integrally closed Prufer -multiplication domains
D. D. Anderson, D. F. Anderson, M. Zafrullah
We study the effects on of assuming that the power series ring is a -domain or a PVMD. We show that a PVMD is completely integrally closed if and only if $\bigc…
On --domains and star operations
D. D. Anderson, David F. Anderson, Marco Fontana +1
Let be a star operation on an integral domain . Let $\f(D)$ be the set of all nonzero finitely generated fractional ideals of . Call a --Prüfer (respectively…
Some remarks on Prüfer --multiplication domains and class groups
David F. Anderson, Marco Fontana, Muhammad Zafrullah
Let be an integral domain with quotient field and let be an indeterminate over . Also, let be a defining family of qu…