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.
Gabelli, S., Picozza, G. (2007). STAR STABLE DOMAINS. JOURNAL OF PURE AND APPLIED ALGEBRA, 208, 853-866 [10.1016/j.jpaa.2006.03.020].
STAR STABLE DOMAINS
GABELLI, Stefania;
2007-01-01
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.File in questo prodotto:
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