A “υ-Operation Free” Approach to Prüferυ-Multiplication Domains | Zendy

Marco Fontana | Zendy; Muhammad Zafrullah | Zendy

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A “υ-Operation Free” Approach to Prüferυ-Multiplication Domains

Author(s) -

Marco Fontana,

Muhammad Zafrullah

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/349010

Subject(s) - algorithm , mathematics , computer science , artificial intelligence , database

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 very well-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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