On Some Classes of Finite Loops
Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 1
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Four new equivalence classes of finite loops are considered:
$C$-, $R$-, $E$-classes, and parastrophic closures. The first three
classes are natural interclasses between isomorphic and isotopy classes
of loops. Their internal isotopies are characterized and a way for
generating isotopy classes from $C$-classes and $R$-classes is pointed
to. The exact upper bound for the length of parastrophic closures is
determined.
Classification :
05B15
Keywords: latin squares, isotopy, isomorphic, $C$-, $R$-, $E$- classes, parastrophic closures.
Keywords: latin squares, isotopy, isomorphic, $C$-, $R$-, $E$- classes, parastrophic closures.
@article{PIM_1994_N_S_55_69_a0,
author = {Dragan M. Acketa and Sne\v{z}ana Mati\'c-Keki\'c},
title = {On {Some} {Classes} of {Finite} {Loops}},
journal = {Publications de l'Institut Math\'ematique},
pages = {1 },
publisher = {mathdoc},
volume = {_N_S_55},
number = {69},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1994_N_S_55_69_a0/}
}
Dragan M. Acketa; Snežana Matić-Kekić. On Some Classes of Finite Loops. Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 1 . http://geodesic.mathdoc.fr/item/PIM_1994_N_S_55_69_a0/