On the bruck-slaby theorem for commutative moufang loops
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SANDU, Nicolae. On the bruck-slaby theorem for commutative moufang loops. In: Mathematical Notes, 1999, vol. 66, pp. 217-222. ISSN 0001-4346. DOI: https://doi.org/10.1007/bf02674880
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Mathematical Notes
Volumul 66 / 1999 / ISSN 0001-4346 /ISSNe 1573-8876

On the bruck-slaby theorem for commutative moufang loops

DOI:https://doi.org/10.1007/bf02674880
CZU: 512.548.77

Pag. 217-222

Sandu Nicolae
 
State Agrarian University of Moldova
 
 
Disponibil în IBN: 14 februarie 2024


Rezumat

With the help of the relationship between commutative Moufang loops and alternative commutative algebras, we prove, rather easily, the following weakened version of the Bruck-Slaby theorem: a finitely generated commutative Moufang loop is centrally nilpotent. 

Cuvinte-cheie
Alternative algebras, Central nilpotence class, Commutative Moufang loops