Some results about proper overrings of pseudo-valuation domains-Reference-Cited by-同舟云学术

Some results about proper overrings of pseudo-valuation domains

Published:2016-03-30 Issue:05 Volume:15 Page:1650099
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Jarboui Noômen¹,Trabelsi Salma¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, 3000 Sfax, P. O. Box 1171, Tunisia

Abstract

Let [Formula: see text] be a (unital) extension of (commutative) rings. We say that [Formula: see text] is a maximal non-quasi-local (respectively, non-PVD) subring of [Formula: see text] if [Formula: see text] is not quasi-local (respectively, PVD) and each subring of [Formula: see text] properly containing [Formula: see text] is quasi-local (respectively, PVD). The aim of this paper is to study this kind of ring extensions and to investigate the structure of the intermediate rings between [Formula: see text] and [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816500997

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