On PM-rings, rings of finite character and h-local rings-Reference-Cited by-同舟云学术

On PM-rings, rings of finite character and h-local rings

Published:2014-04-20 Issue:06 Volume:13 Page:1450018
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Mahdou N.¹,Mimouni A.²,Moutui M. A. S.¹

Affiliation:

1. Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco

2. Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, P. O. Box 278, Dhahran 31261, Saudi Arabia

Abstract

In this paper, we investigate the transfer of the notions of pm-rings, rings of finite character and h-local rings to trivial ring extensions of rings by modules, amalgamations of rings along ideals and pullbacks. Our aim is to provide new classes of commutative rings satisfying these properties and our results generate new families of examples of rings for which the finite character and semi-local properties are equivalents.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498814500182

Reference29 articles.

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2. Idealization of a Module

3. pm-Rings and the Prime Ideal Theorem

4. Class Semigroups of Prüfer Domains

5. Clifford Regular Domains

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