k-full transitivity of homogeneously decomposable groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 5-14
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In this article we introduce the concept of $k$-full transitivity for torsion free abelian groups. A complete description of $k$-fully transitive separable and homogeneously decomposable groups, as well as of $k$-fully transitive completely decomposable groups is presented.
Keywords:
$k$-full transitivity, homogeneously decomposable group, separable group
Mots-clés : endomorphism.
Mots-clés : endomorphism.
@article{VTGU_2013_4_a0,
author = {S. Y. Grinshpon and M. I. Rogozinsky},
title = {k-full transitivity of homogeneously decomposable groups},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {5--14},
publisher = {mathdoc},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_4_a0/}
}
TY - JOUR AU - S. Y. Grinshpon AU - M. I. Rogozinsky TI - k-full transitivity of homogeneously decomposable groups JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2013 SP - 5 EP - 14 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2013_4_a0/ LA - ru ID - VTGU_2013_4_a0 ER -
S. Y. Grinshpon; M. I. Rogozinsky. k-full transitivity of homogeneously decomposable groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 5-14. http://geodesic.mathdoc.fr/item/VTGU_2013_4_a0/