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http://dx.doi.org/10.4134/JKMS.2009.46.6.1179

A NOTE ON PRÜFER SEMISTAR MULTIPLICATION DOMAINS  

Picozza, Giampaolo (UNIVERSITE PAUL CEZANNE AIX-MARSEILLE III LATP, FACULTE DES SCIENCES ET TECHNIQUES)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.6, 2009 , pp. 1179-1192 More about this Journal
Abstract
In this note we give a new generalization of the notions of $Pr{\ddot{U}}fer$ domain and PvMD which uses quasi semistar invertibility, the "quasi P$\star$MD", and compare them with the P$\star$MD. We show in particular that the problem of when a quasi P$\star$MD is a P$\star$MD is strictly related to the problem of the descent to subrings of the P$\star$MD property and we give necessary and sufficient conditions.
Keywords
semistar operation; star operation;
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