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Algebra and Discrete Mathematics, 2013, Volume 16, Issue 2, Pages 299–310 (Mi adm454)  
This article is cited in 12 scientific papers (total in 12 papers)

RESEARCH ARTICLE

Free $n$-nilpotent dimonoids

A. V. Zhuchok

Department of Mathematical Analysis and Algebra, Luhansk Taras Shevchenko National University, Oboronna str., 2, Luhansk, 91011, Ukraine
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Abstract: We construct a free $n$-nilpotent dimonoid and describe its structure. We also characterize the least $n$-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index $2$.
Keywords: $n$-nilpotent dimonoid, free $n$-nilpotent dimonoid, $0$-diband of subdimonoids, dimonoid, semigroup.
Received: 02.07.2013
Revised: 27.08.2013
Bibliographic databases:
Document Type: Article
MSC: 08B20, 20M10, 20M50, 17A30, 17A32
Language: English
Citation: A. V. Zhuchok, “Free $n$-nilpotent dimonoids”, Algebra Discrete Math., 16:2 (2013), 299–310
Citation in format AMSBIB
\Bibitem{Zhu13}
\by A.~V.~Zhuchok
\paper Free $n$-nilpotent dimonoids
\jour Algebra Discrete Math.
\yr 2013
\vol 16
\issue 2
\pages 299--310
\mathnet{http://mi.mathnet.ru/adm454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3186091}
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  • https://www.mathnet.ru/eng/adm/v16/i2/p299
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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