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JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 2014 Volume 18, Issue 1, Pages 138–148 (Mi adm486)
This article is cited 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

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.

MSC: 03C05, 08B20, 20M05

Received: 20.06.2013
Revised: 01.04.2014

Language: English



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