Yayınlanmış 1 Ocak 2020 | Sürüm v1
Dergi makalesi Açık

UNJ-Rings

  • 1. Gazi Univ, Dept Math, Fac Sci, Ankara, Turkey
  • 2. Univ Danang, Univ Sci & Educ, Dept Math, 459 Ton Duc Thang, Danang, Vietnam
  • 3. Charles Univ Prague, Dept Algebra, Fac Math & Phys, Sokolovska 83, Prague 18675 8, Czech Republic

Açıklama

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.

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