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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 2, Pages 306–320 (Mi adm499)  
This article is cited in 6 scientific papers (total in 6 papers)

RESEARCH ARTICLE

On one class of algebras

Yuliia V. Zhuchok

Lugansk Taras Shevchenko National University
Full-text PDF (335 kB) Citations (6)
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Abstract: In this paper a $g$-dimonoid which is isomorphic to the free $g$-dimonoid is given and a free $n$-nilpotent $g$-dimonoid is constructed. We also present the least $n$-nilpotent congruence on a free $g$-dimonoid and give numerous examples of $g$-dimonoids.
Keywords: dimonoid, $g$-dimonoid, free $g$-dimonoid, free $n$-nilpotent $g$-dimonoid, semigroup, congruence.
Received: 10.11.2014
Revised: 12.01.2015
Bibliographic databases:
Document Type: Article
MSC: 08B20, 20M10, 20M50, 17A30, 17A32
Language: English
Citation: Yuliia V. Zhuchok, “On one class of algebras”, Algebra Discrete Math., 18:2 (2014), 306–320
Citation in format AMSBIB
\Bibitem{Zhu14}
\by Yuliia~V.~Zhuchok
\paper On one class of algebras
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 2
\pages 306--320
\mathnet{http://mi.mathnet.ru/adm499}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3352716}
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    • This publication is cited in the following 6 articles:
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