A" υ-Operation Free" Approach to Pr¨ ufer υ-Multiplication Domains
The so-called Prüferυ-multiplication domains (PυMDs) are usually defined as domains whose finitely generated nonzero ideals aret-invertible. These domains generalize Prüfer domains and Krull domains. The PυMDs are relatively obscure compared to their very well-known special cases. One of the reasons could be that the study of PυMDs uses the jargon of star operations, such as theυ-operation and thet-operation. In this paper, we provide characterizations of and basic results on PυMDs and related notions without star operations.
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Dokumenttyp: | Artikel |
Erscheinungsdatum: | 2009 |
Schlagwörter: | Netherlands Organisation for Scientific Research (NWO) / Mathematics (miscellaneous) |
Sprache: | Englisch |
Permalink: | https://search.fid-benelux.de/Record/base-28769039 |
Datenquelle: | BASE; Originalkatalog |
Powered By: | BASE |
Link(s) : | https://www.openaccessrepository.it/record/47642 |