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Algebra and Discrete Mathematics, 2011, Volume 11, Issue 2, Pages 92–111 (Mi adm14)  
This article is cited in 12 scientific papers (total in 12 papers)

RESEARCH ARTICLE

Free rectangular dibands and free dimonoids

Anatolii V. Zhuchok

Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska str., 64, Kyiv, 01033, Ukraine
Full-text PDF (280 kB) Citations (12)
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Abstract: We construct a free rectangular diband and describe its structure. We also present the least rectangular diband congruence, the least $(rb,rz)$-congruence, the least left zero and right zero congruence, the least rectangular band congruence and the least left zero congruence on free dimonoids and use them to obtain decompositions of free dimonoids.
Keywords: rectangular dimonoid, free rectangular dimonoid, free dimonoid, diband of subdimonoids.
Received: 23.02.2011
Revised: 27.05.2011
Bibliographic databases:
Document Type: Article
MSC: 08B20, 20M10, 20M50, 17A30, 17A32
Language: English
Citation: Anatolii V. Zhuchok, “Free rectangular dibands and free dimonoids”, Algebra Discrete Math., 11:2 (2011), 92–111
Citation in format AMSBIB
\Bibitem{Zhu11}
\by Anatolii V. Zhuchok
\paper Free rectangular dibands and free dimonoids
\jour Algebra Discrete Math.
\yr 2011
\vol 11
\issue 2
\pages 92--111
\mathnet{http://mi.mathnet.ru/adm14}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858132}
\zmath{https://zbmath.org/?q=an:06120606}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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