A "υ-Operation Free" Approach to Prüfer υ-Multiplication Domains

نویسندگان

  • Marco Fontana
  • Muhammad Zafrullah
چکیده

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

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2009  شماره 

صفحات  -

تاریخ انتشار 2009