Isomorphisms of certain locally nilpotent finitary groups and associated rings


Kuzucuoglu F. , LEVCHUK V.

ACTA APPLICANDAE MATHEMATICAE, cilt.82, ss.169-181, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

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.