|
Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 1(17), Pages 54–60
(Mi vtgu239)
|
|
|
|
This article is cited in 5 scientific papers (total in 5 papers)
MATHEMATICS
E-engelian abelian groups of step $\le2$
A. R. Chekhlov Tomsk State University
Abstract:
It is proved that periodicity of the automorphism group or weak transitivity of an E-engelian torsion free group of step $\le2$ implies commutativity of its endomorphism ring. Some properties of the engelian ring of step $2$ are established. It is also shown that the endomorphism ring of a weakly transitive torsion free group is semiprime.
Keywords:
commutator of endomorphisms, prime radical, nil radical, E-solvable group, weakly transitive torsion free group.
Accepted: November 3, 2011
Citation:
A. R. Chekhlov, “E-engelian abelian groups of step $\le2$”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 1(17), 54–60
Linking options:
https://www.mathnet.ru/eng/vtgu239 https://www.mathnet.ru/eng/vtgu/y2012/i1/p54
|
Statistics & downloads: |
Abstract page: | 436 | Full-text PDF : | 68 | References: | 56 | First page: | 1 |
|