Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2013, Number 4(24), Pages 5–14 (Mi vtgu328)  
MATHEMATICS

k-full transitivity of homogeneously decomposable groups

S. Y. Grinshpon, M. I. Rogozinsky

Tomsk State University
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Abstract: 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, endomorphism.
Received: 02.04.2013
Document Type: Article
UDC: 512.541
Language: Russian
Citation: S. Y. Grinshpon, M. I. Rogozinsky, “k-full transitivity of homogeneously decomposable groups”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, no. 4(24), 5–14
Citation in format AMSBIB
\Bibitem{GriRog13}
\by S.~Y.~Grinshpon, M.~I.~Rogozinsky
\paper k-full transitivity of homogeneously decomposable groups
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2013
\issue 4(24)
\pages 5--14
\mathnet{http://mi.mathnet.ru/vtgu328}
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    		Вестник Томского государственного университета. Математика и механика
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