Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2010), pp. 45-50
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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/
@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},
year = {2010},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2010_3_a5/}
}
TY - JOUR
AU - Alexandru Covalschi
TI - On quasiidenties of torsion free nilpotent loops
JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY - 2010
SP - 45
EP - 50
IS - 3
UR - http://geodesic.mathdoc.fr/item/BASM_2010_3_a5/
LA - en
ID - BASM_2010_3_a5
ER -
%0 Journal Article
%A Alexandru Covalschi
%T On quasiidenties of torsion free nilpotent loops
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2010
%P 45-50
%N 3
%U http://geodesic.mathdoc.fr/item/BASM_2010_3_a5/
%G en
%F BASM_2010_3_a5
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.