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Semistar linkedness and flatness, Prüfer semistar multiplication domains

Said El Baghdadi·Marco Fontana
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Abstract

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.

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Said El Baghdadi, Marco Fontana. 2003-05-23. Semistar linkedness and flatness, Prüfer semistar multiplication domains. https://arxiv.org/abs/math/0305333

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