Semistar linkedness and flatness, Prüfer semistar multiplication domains

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In 1994, Matsuda and Okabe introduced the notion of semistar operation, extending the "classical" concept of star operation. In this paper, we introduce and study the notions of semistar linkedness and semistar flatness which are natural generalizations, to the semistar setting, of their corresponding "classical" concepts. As an application, among other results, we obtain a semistar version of Davis' and Richman's overring-theoretical theorems of characterization of Prüfer domains for Prüfer semistar multiplication domains.
24 pages

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Commutative Algebra, 13F05; 13A05; 13C99

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http://salesiana.dossiersoluciones.com/handle/123456789/67548

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305333
 http://arxiv.org/abs/math/0305333

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arXiv