Idempotence and divisorialty in Pr\'ufer-like domains

Autor:	Fontana, Marco, Houston, Evan, Park, Mi Hee
Rok vydání:	2018
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry Mathematics - Rings and Algebras 13A15 13G05 13F05 13B20
Druh dokumentu:	Working Paper
Popis:	Let $D$ be a Pr\"ufer $\star$-multiplication domain, where $\star$ is a semistar operation on $D$. We show that certain ideal-theoretic properties related to idempotence and divisoriality hold in Pr\"ufer domains, and we use the associated semistar Nagata ring of $D$ to show that the natural counterparts of these properties also hold in $D$. Comment: to appear in the Springer Volume, "Rings and Factorizations", Proceedings of the Graz Conference 2018
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1811.09210 Zobrazit plný text záznamu View this record from Arxiv