Shiqi Xing

collaborators

2 papers

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…