Yuri Movsisyan, Sergey Davidov, Mher Safaryan, “Construction of free $\mathfrak{g}$-dimonoids”, Algebra Discrete Math., 18:1 (2014), 138

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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 1, Pages 138–148 (Mi adm486)

This article is cited in 10 scientific papers (total in 10 papers)

RESEARCH ARTICLE

Construction of free

$\mathfrak{g}$ -dimonoids

Yuri Movsisyan, Sergey Davidov, Mher Safaryan

Yerevan State University, Alex Manoogian 1, Yerevan 0025, Armenia

Full-text PDF (301 kB) Citations (10)

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Abstract: In this paper, the concept of a

$\mathfrak{g}$ -dimonoid is introduced and the construction of a free

$\mathfrak{g}$ -dimonoid is described. (A

$\mathfrak{g}$ -dimonoid is a duplex satisfying two additional identities.)

Keywords: dimonoid,

$\mathfrak{g}$ -dimonoid, free algebra, canonical form.

Received: 20.06.2013
Revised: 01.04.2014

Bibliographic databases:

Document Type: Article

MSC: 03C05, 08B20, 20M05

Language: English

Citation: Yuri Movsisyan, Sergey Davidov, Mher Safaryan, “Construction of free

$\mathfrak{g}$ -dimonoids”, Algebra Discrete Math., 18:1 (2014), 138–148

Citation in format AMSBIB

\Bibitem{MovDavSaf14}

\by Yuri~Movsisyan, Sergey~Davidov, Mher~Safaryan

\paper Construction of free $\mathfrak{g}$-dimonoids

\jour Algebra Discrete Math.

\yr 2014

\vol 18

\issue 1

\pages 138--148

\mathnet{http://mi.mathnet.ru/adm486}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3283027}

Linking options:

https://www.mathnet.ru/eng/adm486

https://www.mathnet.ru/eng/adm/v18/i1/p138

This publication is cited in the following 10 articles:

A. V. Zhuchok, “Structure of relatively free trioids”, Algebra Discrete Math., 31:1 (2021), 152–166
Yu. V. Zhuchok, “Free abelian trioids”, Algebra Discrete Math., 32:1 (2021), 147–160
Yu. M. Movsisyan, M. A. Yolchyan, “Cayley-type theorems for g-dimonoids”, Armen. J. Math., 12:3 (2020), 1–14
Anatolii V. Zhuchok, Yuliia V. Zhuchok, Oksana O. Odintsova, “Free left $k$-nilpotent $n$-tuple semigroups”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2020, no. 3, 29–38
Yu. M. Movsisyan, “Hyperidentities and related concepts, II”, Armen. J. Math., 10:4 (2018), 1–85
Yu. V. Zhuchok, “Automorphisms of the endomorphism semigroup of a free commutative dimonoid”, Commun. Algebr., 45:9 (2017), 3861–3871
Yu. M. Movsisyan, “Hyperidentities and related concepts, I”, Armen. J. Math., 9:2 (2017), 146–222
Yurii V. Zhuchok, “Automorphisms of the endomorphism semigroup of a free commutative $g$-dimonoid”, Algebra Discrete Math., 21:2 (2016), 309–324
A. V. Zhuchok, Yu. V. Zhuchok, “Free commutative $g$-dimonoids”, Chebyshevskii sb., 16:3 (2015), 276–284
Yuliia V. Zhuchok, “On one class of algebras”, Algebra Discrete Math., 18:2 (2014), 306–320

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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