(Co)Limits of Hom-Lie crossed module

DOI10.3906/MAT-2106-43zbMath1497.18005OpenAlexW3199419453MaRDI QIDQ5099147

Ali Aytekin

Publication date: 31 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2106-43

zbMATH Keywords

crossed modulepullbackpushoutHom-Lie algebra

Mathematics Subject Classification ID

Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Hom-Lie and related algebras (17B61) Structured objects in a category (group objects, etc.) (18C40) 2-groups, crossed modules, crossed complexes (18G45)

Uses Software

• XModAlg

Cites Work

• Unnamed Item
• Hom-Lie 2-algebras
• Representations of hom-Lie algebras
• Three-crossed modules
• Crossed modules of algebras
• Abelian extensions and crossed modules of Hom-Lie algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Enveloping algebras of Hom-Lie algebras
• Computing 2-dimensional algebras: Crossed modules and Cat¹-algebras
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Hom-algebras and homology
• Combinatorial homotopy. II
• Crossed modules, double group-groupoids and crossed squares
• Semi-abelian categories

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