On quasiidenties of torsion free nilpotent loops
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2010), pp. 45-50
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It is proved that any loop which contains an infinite cyclic group and does not contain infinite number of relative prime periodic elements has an infinite and independent basis of quasiidentities. In particular, any torsion free nilpotent loop has an infinite and independent basis of quasiidentities.
@article{BASM_2010_3_a5,
author = {Alexandru Covalschi},
title = {On quasiidenties of torsion free nilpotent loops},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {45--50},
publisher = {mathdoc},
number = {3},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2010_3_a5/}
}
Alexandru Covalschi. On quasiidenties of torsion free nilpotent loops. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2010), pp. 45-50. http://geodesic.mathdoc.fr/item/BASM_2010_3_a5/