Structure of relatively free trioids

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dc.contributor.authorZhuchok, A.V.
dc.date.accessioned2023-03-11T13:31:29Z
dc.date.available2023-03-11T13:31:29Z
dc.date.issued2021
dc.description.abstractLoday 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.sponsorshipDedicated 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.identifier.citationStructure 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.issn1726-3255
dc.identifier.otherDOI:10.12958/adm1732
dc.identifier.other2020 MSC: 08B20, 20M10, 20M50, 17A30, 17D99.
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/188682
dc.language.isoenuk_UA
dc.publisherІнститут прикладної математики і механіки НАН Україниuk_UA
dc.relation.ispartofAlgebra and Discrete Mathematics
dc.statuspublished earlieruk_UA
dc.titleStructure of relatively free trioidsuk_UA
dc.typeArticleuk_UA

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Algebra and Discrete Mathematics, 2021, Vol. 31, № 1