Translator Disclaimer
November 2021 Amalgamated Algebras Which Are Présimplifiable or Domainlike
Omar A. Al-Mallah
Author Affiliations +
Missouri J. Math. Sci. 33(2): 225-234 (November 2021). DOI: 10.35834/2021/3302225

Abstract

A commutative ring $A$ is called présimplifiable (resp., domain-like) if all its zero divsors are contained in its Jacobson radical (resp., $0$ is a primary ideal of $A$). Let $A$ and $B$ be two commutative rings with identity, $J$ be an ideal of $B$, and $\rho: A\rightarrow B$ be a ring homomorphism. In this paper, we give a characterization for the amalgamation of $A$ with $B$ along $J$ with respect to $\rho$ (denoted by $R\Join ^\rho J$) to be présimplifiable (resp., domain-like).

Citation

Download Citation

Omar A. Al-Mallah. "Amalgamated Algebras Which Are Présimplifiable or Domainlike." Missouri J. Math. Sci. 33 (2) 225 - 234, November 2021. https://doi.org/10.35834/2021/3302225

Information

Published: November 2021
First available in Project Euclid: 30 November 2021

Digital Object Identifier: 10.35834/2021/3302225

Subjects:
Primary: 13A05
Secondary: 13B99 , 13F99

Keywords: Amalgamated algebra , domain-like , présimplifiable

Rights: Copyright © 2021 University of Central Missouri, School of Computer Science and Mathematics

JOURNAL ARTICLE
10 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.33 • No. 2 • November 2021
Back to Top