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This article is cited in 6 scientific papers (total in 6 papers)
RESEARCH ARTICLE
Free normal dibands
Anatolii V. Zhuchok
Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska str., 64, Kyiv, 01033, Ukraine
Abstract:
We construct a free normal diband, a free $(\ell n,n)$-diband, a free $(n,rn)$-diband and a free $(\ell n,rn)$-diband. We also describe the structure of free normal dibands and characterize some least congruences on these dibands.
Keywords:
normal diband, free normal diband, diband of subdimonoids, dimonoid, semigroup.
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MSC: 08B20, 20M10, 20M50, 17A30, 17A32
Received: 25.10.2011
Revised: 05.12.2011
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Citation:
Anatolii V. Zhuchok, “Free normal dibands”, Algebra Discrete Math., 12:2 (2011), 112–127
Citation in format AMSBIB
\Bibitem{Zhu11}
\by Anatolii V. Zhuchok
\paper Free normal dibands
\jour Algebra Discrete Math.
\yr 2011
\vol 12
\issue 2
\pages 112--127
\mathnet{http://mi.mathnet.ru/adm154}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2952907}
\zmath{https://zbmath.org/?q=an:06120557}
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http://mi.mathnet.ru/eng/adm154 http://mi.mathnet.ru/eng/adm/v12/i2/p112
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This publication is cited in the following articles:
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A. V. Zhuchok, “Dekompozitsii svobodnykh dimonoidov”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 154, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2012, 93–100
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A. V. Zhuchok, “Cvobodnye $n$-dinilpotentnye dimonoidy”, PFMT, 2013, no. 4(17), 43–46
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A. V. Zhuchok, “Free $(\ell r, rr)$-dibands”, Algebra Discrete Math., 15:2 (2013), 295–304
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A. V. Zhuchok, “Free $n$-nilpotent dimonoids”, Algebra Discrete Math., 16:2 (2013), 299–310
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Yurii V. Zhuchok, “Free abelian dimonoids”, Algebra Discrete Math., 20:2 (2015), 330–342
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Zhuchok A.V., “Structure of Relatively Free Dimonoids”, Commun. Algebr., 45:4 (2017), 1639–1656
  
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