Isomorphisms of certain locally nilpotent finitary groups and associated rings
ACTA APPLICANDAE MATHEMATICAE, cilt.82, sa.2, ss.169-181, 2004 (SCI-Expanded, Scopus)
- 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.