Dergi makalesi Açık Erişim

UNJ-Rings

2020    Kosan, M. Tamer; Truong Cong Quynh; Zemlicka, Jan

In analogy to the elementwise definitions of UU- and UJ-rings, a ring R is called UNJ if 1 + N(R) + J(R) = U(R). 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, pi-regular rings and rings that satisfy the identity x(2) = x. Finally, we conclude this paper with group UNJ-rings.