Basic concepts of ternary Hopf algebras

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dc.creatorBorowiec, Andrzej
dc.creatorDudek, Wieslaw A.
dc.creatorDuplij, Steven
dc.date2003-06-12
dc.date.accessioned2026-07-07T04:58:56Z
dc.date.available2026-07-07T04:58:56Z
dc.descriptionThe theory of ternary semigroups, groups and algebras is reformulated in the abstract arrow language. Then using the reversing arrow ansatz we define ternary comultiplication, bialgebras and Hopf algebras and investigate their properties. The main property "to be binary derived" is considered in detail. The co-analog of Post theorem is formulated. It is shown that there exist 3 types of ternary coassociativity, 3 types of ternary counits and 2 types of ternary antipodes. Some examples are also presented.
dc.description11 pages, AmSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0306208
dc.identifierhttp://arxiv.org/abs/math/0306208
dc.identifierJournal of Kharkov National University, ser. Nuclei, Particles and Fields, v. 529, N 3(15) (2001) pp. 21--29
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67786
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectGroup Theory
dc.subjectRings and Algebras
dc.titleBasic concepts of ternary Hopf algebras
dc.typetext

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