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Algebra i logika, 2011, Volume 50, Number 4, Pages 497–503 (Mi al497)  
This article is cited in 1 scientific paper (total in 1 paper)

Abelian groups of monotonic permutations

A. V. Zenkov

Altai State Agricultural University, Barnaul, Russia
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Abstract: We study $m$-transitive representations of Abelian $m$-groups. Representations are found which mimic a variety $\mathcal A$ of all Abelian $m$-groups and a variety $\mathcal J$ of $m$-groups defined by an identity $x_*=x^{-1}$.
Keywords: abelian $m$-group, representation, mimicking.
Received: 21.05.2010
Revised: 05.08.2010
English version:
Algebra and Logic, 2011, Volume 50, Issue 4, Pages 341–345
DOI: https://doi.org/10.1007/s10469-011-9145-6
Bibliographic databases:
Document Type: Article
UDC: 512.545
Language: Russian
Citation: A. V. Zenkov, “Abelian groups of monotonic permutations”, Algebra Logika, 50:4 (2011), 497–503; Algebra and Logic, 50:4 (2011), 341–345
Citation in format AMSBIB
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\paper Abelian groups of monotonic permutations
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
     
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