Document

When is a fixed ring comparable to all overrings?

Author
Title of Periodical
Journal of Algebra and its Applications
Country of Publication
Kingdom of Bahrain
Place Published
sakhir, bahrain
Publisher
University of Bahrain
Date Issued
2022
Language
English
English Abstract
Abstract: An overring Ro of an integral domain R is said to be comparable if Ro = R, Ro = qf(R), and each overring of R is comparable to Ro under inclusion. We do provide necessary and sufficient conditions for which R has a comparable overring. Several consequences are derived, specially for minimal overrings, or in the case where the integral closure R of R is a comparable overring, or also when each chain of distinct overrings of R is finite.
Member of
Identifier
https://digitalrepository.uob.edu.bh/id/3db4c550-0ae2-4efb-9119-060db96c5e96