UNJ-Rings-Reference-Cited by-同舟云学术

UNJ-Rings

Published:2019-09-20 Issue:09 Volume:19 Page:2050170
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Koşan M. Tamer¹,Quynh Truong Cong²,Žemlička Jan³

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Gazi University, Ankara, Turkey

2. Department of Mathematics, The University of Danang-University of Science and Education, 459 Ton Duc Thang, Danang city, Vietnam

3. Department of Algebra, Charles University in Prague, Faculty of Mathematics and Physics Sokolovská 83, 186 75 Praha 8, Czech Republic

Abstract

In analogy to the elementwise definitions of UU- and UJ-rings, a ring [Formula: see text] is called UNJ if [Formula: see text]. After presenting several characterizations and properties, we consider the UNJ-rings within many well-studied classes of rings. In particular, we examine Dedekind finite rings, 2-primal rings, (semi)regular rings, [Formula: see text]-regular rings and rings that satisfy the identity [Formula: see text]. Finally, we conclude this paper with group UNJ-rings.

Funder

TUBITAK of Turkey

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501704

Reference17 articles.

1. On Rings Having McCoy-Like Conditions

2. On abelian π-regular rings

3. Jacobson radical of skew polynomial rings and skew group rings

4. Modules over coproducts of rings

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3. Generalizations of UU-rings, UJ-rings and UNJ-rings;Journal of Algebra and Its Applications;2022-02-23

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