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Actions of internal groupoids in the category of Leibniz algebras
2019
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
DOI:  
10.31801/cfsuasmas.453582
Abstract:

The aim of this paper is to characterize the notion of internal category (groupoid) in the category of Leibniz algebras and investigate some properties of well-known notions such as covering groupoids and groupoid operations (actions) in this category. Further, for a fixed internal groupoid G in the category of Leibniz algebras, we prove that the category of covering groupoids of G and the category of internal groupoid actions of G on Leibniz algebras are equivalent. Finally, we interpret the corresponding notion of covering groupoids in the category of crossed modules of Leibniz algebras.

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2019
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
DOI:  
10.31801/cfsuasmas.453582
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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Journal Type :   Ulusal

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics