More on crossed modules in Lie, Leibniz, associative and diassociative algebras

DOI10.1142/S0219498817501079zbMath1407.17002arXiv1508.01147OpenAlexW2963618011WikidataQ115245642 ScholiaQ115245642MaRDI QIDQ5739077

Rafael F. Casado, Manuel Ladra Gonzalez, Emzar Khmaladze, José Manuel Casas Mirás

Publication date: 2 June 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01147

zbMATH Keywords

crossed moduleLeibniz algebraadjunctionassociative dialgebrauniversal enveloping crossed module

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Universal enveloping (super)algebras (17B35) Leibniz algebras (17A32) Nonassociative algebras satisfying other identities (17A30)

Related Items (7)

The Moore Complex of a Simplicial Cocommutative Hopf Algebra ⋮ From simplicial homotopy to crossed module homotopy in modified categories of interest ⋮ A natural extension of the universal enveloping algebra functor to crossed modules of Leibniz algebras ⋮ Colimits of crossed modules in modified categories of interest ⋮ HNN-extensions of Leibniz algebras ⋮ Some properties of the Schur multiplier and stem covers of Leibniz crossed modules ⋮ Actor of a crossed module of dialgebras via tetramultipliers

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• Dialgebras and related operads

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