A “ -Operation Free†Approach to Prüfer -Multiplication Domains

Marco Fontana and Muhammad Zafrullah

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-8

Abstract:

The so-called Prüfer -multiplication domains (P MDs) are usually defined as domains whose finitely generated nonzero ideals are -invertible. These domains generalize Prüfer domains and Krull domains. The P MDs are relatively obscure compared to their very well-known special cases. One of the reasons could be that the study of P MDs uses the jargon of star operations, such as the -operation and the -operation. In this paper, we provide characterizations of and basic results on P MDs and related notions without star operations.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:349010

DOI: 10.1155/2009/349010

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