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arXiv · 0911.2887

A "$v$-operation free" approach to Prüfer $v$-multiplication domains

Marco Fontana·Muhammad Zafrullah
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Abstract

The so called Prüfer $v$-multiplication domains (P$v$MD's) are usually defined as domains whose finitely generated nonzero ideals are $t$-invertible. These domains generalize Prüfer domains and Krull domains. The P$v$MD's are relatively obscure compared to their very well known special cases. One of the reasons could be that the study of P$v$MD's uses the jargon of star operations, such as the $v$-operation and the $t$-operation. In this paper, we provide characterizations of and basic results on P$v$MD's and related notions without star operations.

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Marco Fontana, Muhammad Zafrullah. 2009-11-15. A "$v$-operation free" approach to Prüfer $v$-multiplication domains. https://arxiv.org/abs/0911.2887

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