A “ υ ‐Operation Free” Approach to Prüfer υ ‐Multiplication Domains
Marco Fontana, Muhammad Zafrullah
Source abstract
The so‐called Prüfer υ ‐multiplication domains (P υ MDs) are usually defined as domains whose finitely generated nonzero ideals are t ‐invertible. These domains generalize Prüfer domains and Krull domains. The P υ MDs are relatively obscure compared to their very well‐known special cases. One of the reasons could be that the study of P υ MDs 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 P υ MDs and related notions without star operations.
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