E. Houston

activity

20042018

most citedToward a classification of prime ideals in Prüfer domains

11 citations · 14 across the 9 of their papers we have counts for

collaborators

10 papers

math.AC2018★ 1 cited

Idempotence and divisorialty in Prüfer-like domains

Marco Fontana, Evan Houston, Mi Hee Park

Let $D$ be a Prüfer $⋆$ -multiplication domain, where $⋆$ is a semistar operation on $D$ . We show that certain ideal-theoretic properties related to idempotence and divisori…

math.AC2018★ 1 cited

Sharpness and semistar operations in Pruefer-like domains

Marco Fontana, Evan Houston, Mi Hee Park

Let $⋆$ be a semistar operation on a domain $D$ , $⋆_{f}$ the finite-type semistar operation associated to $⋆$ , and $D$ a Prüfer $⋆$ -multiplication domain (P $⋆$ MD)…

math.AC2017

$⋆$ -super potent domains

Evan Houston, Muhammad Zafrullah

For a finite-type star operation $⋆$ on a domain $R$ , we say that $R$ is $⋆$ -super potent if each maximal $⋆$ -ideal of $R$ contains a finitely generated ideal $I$ such…

math.AC2017

On $⋆$ -Power Conductor domains

Daniel D. Anderson, Evan Houston, Muhammad Zafrullah

Let $D$ be an integral domain and $⋆$ a star operation defined on $D$ . We say that $D$ is a $⋆$ -power conductor domain ( $⋆$ -PCD) if for each pair $a,b\in D\backslash…

math.AC2016★ 1 cited

Star-reductions of ideals and Prufer v-multiplication domains

E. Houston, S. Kabbaj, A. Miomouni

Let R be a commutative ring and I an ideal of R. A sub-ideal J of I is a reduction of I if JI^n = I^n+1 for some positive integer n. The ring R has the (finite) basic ideal propert…

math.AC2008★ 11 cited

Toward a classification of prime ideals in Prüfer domains

Marco Fontana, Evan Houston, Thomas G. Lucas

The primary purpose of this paper is give a classification scheme for the nonzero primes of a Prüfer domain based on five properties. A prime $P$ of a Prüfer domain $R$ could be sh…