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Algebra i logika, 2004, Volume 43, Number 5, Pages 565–581 (Mi al90)  
This article is cited in 5 scientific papers (total in 5 papers)

Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups

Ch. K. Guptaa, E. I. Timoshenko

a University of Manitoba
Full-text PDF (220 kB) Citations (5)
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Abstract: Let $G$ be a finitely generated torsion-free group, which is a metabelian product of Abelian groups. We establish a criterion for endomorphisms satisfying some extra restriction to be invertible in $G$. Test sets for $\rm IA$-endomorphisms of $G$ are described and its test rank is computed.
Keywords: finitely generated torsion-free group, metabelian product, Abelian group, endomorphism, test set, test rank.
Received: 30.09.2003
Revised: 09.04.2004
English version:
Algebra and Logic, 2004, Volume 43, Issue 5, Pages 316–326
DOI: https://doi.org/10.1023/B:ALLO.0000044280.34370.ad
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: Ch. K. Gupta, E. I. Timoshenko, “Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups”, Algebra Logika, 43:5 (2004), 565–581; Algebra and Logic, 43:5 (2004), 316–326
Citation in format AMSBIB
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\paper Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups
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\pages 565--581
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\transl
\jour Algebra and Logic
\yr 2004
\vol 43
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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