On Products and Duality of Binary, Quadratic, Regular Operads

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dc.creatorEbrahimi-Fard, Kurusch
dc.creatorGuo, Li
dc.date2004-07-09
dc.date2004-12-09
dc.date.accessioned2026-07-07T06:33:18Z
dc.date.available2026-07-07T06:33:18Z
dc.descriptionSince its introduction by Loday in 1995 with motivation from algebraic K-theory, dendriform dialgebras have been studied quite extensively with connections to several areas in mathematics and physics. A few more similar structures have been found recently, such as the tri-, quadri-, ennea- and octo-algebras, with increasing complexity in their constructions and properties. We consider these constructions as operads and their products and duals, in terms of generators and relations, with the goal to clarify and simplify the process of obtaining new algebra structures from known structures and from linear operators.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0407162
dc.identifierhttp://arxiv.org/abs/math/0407162
dc.identifierJournal of Pure and Applied Algebra, 200, (2005), 293-317
dc.identifierdoi:10.1016/j.jpaa.2004.12.020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99149
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subjectCategory Theory
dc.subject18D50, 16W99
dc.titleOn Products and Duality of Binary, Quadratic, Regular Operads
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