The number of intermediate rings in FIP extension of integral domains-Reference-Cited by-同舟云学术

The number of intermediate rings in FIP extension of integral domains

Published:2019-11-05 Issue:09 Volume:19 Page:2050171
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Ben Nasr Mabrouk¹,Jaballah Ali²

Affiliation:

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

2. Department of Mathematics, University of Sharjah, P. O. Box 27272, Sharjah, United Arab Emirates

Abstract

Let [Formula: see text] be an extension of integral domains with only finitely many intermediate rings, where [Formula: see text] is not a field and [Formula: see text] is not necessarily the quotient field of [Formula: see text] or [Formula: see text] is not necessarily integrally closed in [Formula: see text]. In this paper, we exactly determine the number of intermediate rings between [Formula: see text] and [Formula: see text] and give a way to compute it.

Funder

University of Sharjah

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501716

Reference23 articles.

1. Residually algebraic pairs of rings

2. WHEN IS THE INTEGRAL CLOSURE COMPARABLE TO ALL INTERMEDIATE RINGS

3. A special chain theorem in the set of intermediate rings

4. An answer to a problem about the number of overrings

5. New results about normal pairs of rings with zero-divisors

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