Isomorphisms of certain locally nilpotent finitary groups and associated rings
ACTA APPLICANDAE MATHEMATICAE, vol.82, no.2, pp.169-181, 2004 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 82 Issue: 2
- Publication Date: 2004
- Doi Number: 10.1023/b:acap.0000027533.59937.14
- Journal Name: ACTA APPLICANDAE MATHEMATICAE
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.169-181
- Hacettepe University Affiliated: Yes
Abstract
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.