(Pseudo)digraphs and Leibniz algebra isomorphisms

Autor:	Juan Núñez, Manuel Ceballos, Ángel F. Tenorio
Rok vydání:	2018
Předmět:	Leibniz algebra Pure mathematics General Mathematics 010102 general mathematics Isomorphism class General Engineering 010103 numerical & computational mathematics 01 natural sciences Algorithm Combinatorial structure (Pseudo)digraph 0101 mathematics Mathematics
Zdroj:	Mathematical Methods in the Applied Sciences. 41:7481-7497
ISSN:	1099-1476 0170-4214
DOI:	10.1002/mma.5064
Popis:	This paper studies the link between isomorphic digraphs and isomorphic Leibniz algebras, determining in detail this fact when using (psuedo)digraphs of 2 and 3 vertices associated with Leibniz algebras according to their isomorphism classes. Moreover, we give the complete list with all the combinatorial structures of 3 vertices associated with Leibniz algebras, studying their isomorphism classes. We also compare our results with the current classifications of 2- and 3-dimensional Leibniz algebras. Finally, we introduce and implement the algorithmic procedure used for our goals and devoted to decide
Databáze:	OpenAIRE
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