A non-abelian tensor product of algebras withbracket

We introduce and study a non-abelian tensor product of two algebras with bracket with compatible actions on each other. We investigate its applications to the universal central extensions and the low-dimensional homology of perfect algebras with bracket.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-01-27
DOI
https://doi.org/10.15672/hujms.1535583
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

A non-abelian tensor product of algebras withbracket

J. M. Casas, M. Ladra, Emzar Khmaladze
Hacettepe Journal of Mathematics and Statistics
Algebraic structures and combinatorial models
article

A non-abelian tensor product of algebras withbracket

J. M. Casas, M. Ladra, Emzar Khmaladze
article en

Abstract

We introduce and study a non-abelian tensor product of two algebras with bracket with compatible actions on each other. We investigate its applications to the universal central extensions and the low-dimensional homology of perfect algebras with bracket.

Hacettepe Journal of Mathematics and StatisticsVol. 54(4)
University of Georgia (US), Universidade de Santiago de Compostela (ES), Ministerio de Ciencia, Tecnología y Medio Ambiente (CU)
National Science Foundation, Shota Rustaveli National Science Foundation, Xunta de Galicia, Universidade de Santiago de Compostela, Agencia Estatal de Investigación
Openalex Percentile: Top 96%
Algebraic structures and combinatorial models
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