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.
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     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},
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     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_4_a0/}
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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/