Structure of relatively free trioids

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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2021, Vol. 31, Vol. 32
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Algebra and Discrete Mathematics, 2021, Vol. 31, № 1
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dc.contributor.author	Zhuchok, A.V.
dc.date.accessioned	2023-03-11T13:31:29Z
dc.date.available	2023-03-11T13:31:29Z
dc.date.issued	2021
dc.identifier.citation	Structure of relatively free trioids / A.V. Zhuchok // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 152–166. — Бібліогр.: 35 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	DOI:10.12958/adm1732
dc.identifier.other	2020 MSC: 08B20, 20M10, 20M50, 17A30, 17D99.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188682
dc.description.abstract	Loday and Ronco introduced the notions of a trioid and a trialgebra, and constructed the free trioid of rank 1 and the free trialgebra. This paper is a survey of recent developments in the study of free objects in the varieties of trioids and trialgebras. We present the constructions of the free trialgebra and the free trioid, the free commutative trioid, the free n-nilpotent trioid, the free left (right) n-trinilpotent trioid, and the free rectangular trioid. Some of these results can be applied to constructing relatively free trialgebras.	uk_UA
dc.description.sponsorship	Dedicated to the 60th anniversary of the Department of Algebra and Mathematical Logic of Taras Shevchenko National University of Kyiv The author is supported by the National Research Foundation of Ukraine (grant no. 2020.02/0066).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Structure of relatively free trioids	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA