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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 2, Pages 306–320
(Mi adm499)
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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
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
Citation:
Yuliia V. Zhuchok, “On one class of algebras”, Algebra Discrete Math., 18:2 (2014), 306–320
Linking options:
https://www.mathnet.ru/eng/adm499 https://www.mathnet.ru/eng/adm/v18/i2/p306
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Abstract page: | 258 | Full-text PDF : | 86 | References: | 81 |
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