Star Stable Domains

Details Star Stable Domains Star Stable Domains

2006-03-06

arxiv.org/abs/math/0603147v1

Mathematics

Commutative Algebra

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

Scientific paper

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.

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