UNJ-Rings


Kosan M. T. , Truong Cong Quynh T. C. Q. , Zemlicka J.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.19, sa.9, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 9
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1142/s0219498820501704
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS

Özet

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.