Idempotence and divisorialty in Prüfer-like domains

Abstract

Let $D$ be a Prüfer $\star$-multiplication domain, where $\star$ is a semistar operation on $D$. We show that certain ideal-theoretic properties related to idempotence and divisoriality hold in Prüfer domains, and we use the associated semistar Nagata ring of $D$ to show that the natural counterparts of these properties also hold in $D$.

to appear in the Springer Volume, "Rings and Factorizations", Proceedings of the Graz Conference 2018

Cited by in corpus (1)

• On $\ast$-homogeneous ideals