A NOTE ON PRÜFER SEMISTAR MULTIPLICATION DOMAINS

Title & Authors
A NOTE ON PRÜFER SEMISTAR MULTIPLICATION DOMAINS
Picozza, Giampaolo;

Abstract
In this note we give a new generalization of the notions of $\small{Pr{\ddot{U}}fer}$ domain and PvMD which uses quasi semistar invertibility, the "quasi P$\small{\star}$MD", and compare them with the P$\small{\star}$MD. We show in particular that the problem of when a quasi P$\small{\star}$MD is a P$\small{\star}$MD is strictly related to the problem of the descent to subrings of the P$\small{\star}$MD property and we give necessary and sufficient conditions.
Keywords
semistar operation;star operation;
Language
English
Cited by
1.
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2.
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