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

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  • Marco Fontana
  • Muhammad Zafrullah

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.

Suggested Citation

  • Marco Fontana & Muhammad Zafrullah, 2009. "A “ -Operation Free†Approach to Prüfer -Multiplication Domains," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-8, December.
    • Handle: RePEc:hin:jijmms:349010
    DOI: 10.1155/2009/349010
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