Daniel D. Anderson

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20172019

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math.AC2019

Two generalizations of Krull domains

Shiqi Xing, Daniel D. Anderson, Muhammad Zafrullah

In this paper we introduce two new generalizations of Krull domains: $*$ -almost independent rings of Krull type ( $*$ -almost IRKTs) and $*$ -almost generalized Krull domains…

math.AC2019

Almost discrete valuation domains

Daniel D. Anderson, Shiqi Xing, Muhammad Zafrullah

Let $D$ be an integral domain. Then $D$ is an almost valuation (AV-)domain if for $a, b \in D ∖ {0}$ there exists a natural number $n$ with $a^{n} ∣ b^{n}$ or $b^{n}\mid…

math.AC2018

On $*$ -Semi Homogeneous Domains

Daniel D. Anderson, Muhammad Zafrullah

Let $*$ be a finite character star operation defined on an integral domain $D .$ Call a nonzero $*$ -ideal $I$ of finite type a $*$ -homogeneous ( $*$ -homog) ideal, if…

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…

Two generalizations of Krull domains

Almost discrete valuation domains

On ∗-Semi Homogeneous Domains

On ⋆-Power Conductor domains

On $*$ -Semi Homogeneous Domains

On $⋆$ -Power Conductor domains