Star Stable Domains

Stefania Gabelli; Giampaolo Picozza

Star Stable Domains

Commutative Algebra 2007-05-23 v1

Authors: Stefania Gabelli , Giampaolo Picozza

Abstract

We introduce and study the notion of $\star$ -stability with respect to a semistar operation $\star$ defined on a domain $R$ ; in particular we consider the case where $\star$ is the $w$ -operation. This notion allows us to generalize and improve several properties of stable domains and totally divisorial domains.

Keywords

stability theory

Cite

@article{arxiv.math/0603147,
  title  = {Star Stable Domains},
  author = {Stefania Gabelli and Giampaolo Picozza},
  journal= {arXiv preprint arXiv:math/0603147},
  year   = {2007}
}

Comments

21 pages. J. Pure Appl. Algebra, to appear

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