Answers are grounded in this paper and cite their sources.
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.
No takes yet. Share an insight, caveat, or question.
Koşan et al. (2019) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: