Identities and the group of isostrophisms

Aleš Drápal; Viktor Alekseevich Shcherbakov

Commentationes Mathematicae Universitatis Carolinae (2012)

  • Volume: 53, Issue: 3, page 347-374
  • ISSN: 0010-2628

Abstract

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In this paper we reexamine the concept of isostrophy. We connect it to the notion of term equivalence, and describe the action of dihedral groups that are associated with loops by means of isostrophy. We also use it to prove and present in a new way some well known facts on m -inverse loops and middle Bol loops.

How to cite

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Drápal, Aleš, and Shcherbakov, Viktor Alekseevich. "Identities and the group of isostrophisms." Commentationes Mathematicae Universitatis Carolinae 53.3 (2012): 347-374. <http://eudml.org/doc/246910>.

@article{Drápal2012,
abstract = {In this paper we reexamine the concept of isostrophy. We connect it to the notion of term equivalence, and describe the action of dihedral groups that are associated with loops by means of isostrophy. We also use it to prove and present in a new way some well known facts on $m$-inverse loops and middle Bol loops.},
author = {Drápal, Aleš, Shcherbakov, Viktor Alekseevich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {isostrophe; isostrophism; paratope; paratopism; middle Bol; varieties of loops; inverse loops; isostrophes; isostrophisms; paratopes; paratopisms; middle Bol loops},
language = {eng},
number = {3},
pages = {347-374},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Identities and the group of isostrophisms},
url = {http://eudml.org/doc/246910},
volume = {53},
year = {2012},
}

TY - JOUR
AU - Drápal, Aleš
AU - Shcherbakov, Viktor Alekseevich
TI - Identities and the group of isostrophisms
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 3
SP - 347
EP - 374
AB - In this paper we reexamine the concept of isostrophy. We connect it to the notion of term equivalence, and describe the action of dihedral groups that are associated with loops by means of isostrophy. We also use it to prove and present in a new way some well known facts on $m$-inverse loops and middle Bol loops.
LA - eng
KW - isostrophe; isostrophism; paratope; paratopism; middle Bol; varieties of loops; inverse loops; isostrophes; isostrophisms; paratopes; paratopisms; middle Bol loops
UR - http://eudml.org/doc/246910
ER -

References

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