Isotopy invariant quasigroup identities

Aleksandar Krapež; Bojan Marinković

Commentationes Mathematicae Universitatis Carolinae (2016)

  • Volume: 57, Issue: 4, page 537-547
  • ISSN: 0010-2628

Abstract

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According to S. Krstić, there are only four quadratic varieties which are closed under isotopy. We give a simple procedure generating quadratic identities and deciding which of the four varieties they define. There are about 37000 such identities with up to five variables.

How to cite

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Krapež, Aleksandar, and Marinković, Bojan. "Isotopy invariant quasigroup identities." Commentationes Mathematicae Universitatis Carolinae 57.4 (2016): 537-547. <http://eudml.org/doc/287576>.

@article{Krapež2016,
abstract = {According to S. Krstić, there are only four quadratic varieties which are closed under isotopy. We give a simple procedure generating quadratic identities and deciding which of the four varieties they define. There are about 37000 such identities with up to five variables.},
author = {Krapež, Aleksandar, Marinković, Bojan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {quasigroup; $3$-sorted quasigroup; homotopy; isotopy; quadratic identity; gemini identity; coherent identity; variety closed under isotopy (homotopy)},
language = {eng},
number = {4},
pages = {537-547},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Isotopy invariant quasigroup identities},
url = {http://eudml.org/doc/287576},
volume = {57},
year = {2016},
}

TY - JOUR
AU - Krapež, Aleksandar
AU - Marinković, Bojan
TI - Isotopy invariant quasigroup identities
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 4
SP - 537
EP - 547
AB - According to S. Krstić, there are only four quadratic varieties which are closed under isotopy. We give a simple procedure generating quadratic identities and deciding which of the four varieties they define. There are about 37000 such identities with up to five variables.
LA - eng
KW - quasigroup; $3$-sorted quasigroup; homotopy; isotopy; quadratic identity; gemini identity; coherent identity; variety closed under isotopy (homotopy)
UR - http://eudml.org/doc/287576
ER -

References

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