Isomorphisms of certain locally nilpotent finitary groups and associated rings

Kuzucuoglu F., LEVCHUK V.

ACTA APPLICANDAE MATHEMATICAE, cilt.82, sa.2, ss.169-181, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 82 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1023/b:acap.0000027533.59937.14
  • Dergi Adı: ACTA APPLICANDAE MATHEMATICAE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.169-181
  • Hacettepe Üniversitesi Adresli: Evet

Özet

For any chain Gamma the ring NT(Gamma, K) of all finitary Gamma-matrices parallel toa(ij)parallel to(i,is an element ofGamma) over an associative ring K with zeros on and above the main diagonal is locally nilpotent and hence radical. If R' = NT(Gamma', K'), R = NT(Gamma, K) and either \Gamma\ < infinity or K is a ring with no zero-divisors, then isomorphisms between rings R and R', their adjoint groups and associated Lie rings are described.