On UJ-rings

Kosan M. T., Leroy A., Matczuk J.

COMMUNICATIONS IN ALGEBRA, cilt.46, sa.5, ss.2297-2303, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1080/00927872.2017.1388814
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2297-2303
  • Anahtar Kelimeler: Clean rings, Jacobson radical, units, 16N20, 16U60, ELEMENTS
  • Gazi Üniversitesi Adresli: Hayır

Özet

UJ-rings are studied, i.e., ring in which all units can be presented in a form 1+x, for some xJ(R). The behavior of UJ-rings under various algebraic construction is investigated. In particular, it is shown that the problem of lifting the UJ property from a ring R to the polynomial ring R[x] is equivalent to the Kothe's problem for ?(2)-algebras.