Trialgebras and Leibniz 3-algebras

zbMath1151.17001MaRDI QIDQ2469331

José Manuel Casas Mirás

Publication date: 5 February 2008

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

trialgebraLeibniz algebradialgebraLeibniz 3-algebraQuasiLie 3-algebra

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Leibniz algebras (17A32) Nonassociative algebras satisfying other identities (17A30) Ternary compositions (17A40) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (17)

The least dimonoid congruences on relatively free trioids ⋮ Trioids ⋮ Constructions of free dibands and tribands ⋮ Independence of axioms of an associative trioid ⋮ The endomorphism monoid of a free trioid of rank 1 ⋮ Unnamed Item ⋮ The least dimonoid congruences on free \(n\)-nilpotent trioids ⋮ Free rectangular doppelsemigroups ⋮ Free commutative trioids ⋮ Free left n-trinilpotent trioids ⋮ Poincaré-Birkhoff-Witt theorem for Leibniz \(n\)-algebras ⋮ Structure of relatively free trioids ⋮ Semiretractions of trioids. ⋮ The least left \(n\)-trinilpotent congruence on the free trioid ⋮ Certain congruences on free trioids ⋮ New models for the free commutative monogenic trioid and its endomorphism monoid ⋮ Test for Leibniz \(n\)-algebra structure

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