Identities and the group of isostrophisms
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 347-374
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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.
Classification :
15A30, 20N05
Keywords: isostrophe; isostrophism; paratope; paratopism; middle Bol
Keywords: isostrophe; isostrophism; paratope; paratopism; middle Bol
@article{CMUC_2012__53_3_a2,
author = {Dr\'apal, Ale\v{s} and Shcherbacov, Victor},
title = {Identities and the group of isostrophisms},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {347--374},
publisher = {mathdoc},
volume = {53},
number = {3},
year = {2012},
mrnumber = {3017835},
zbl = {1258.20056},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a2/}
}
TY - JOUR AU - Drápal, Aleš AU - Shcherbacov, Victor TI - Identities and the group of isostrophisms JO - Commentationes Mathematicae Universitatis Carolinae PY - 2012 SP - 347 EP - 374 VL - 53 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a2/ LA - en ID - CMUC_2012__53_3_a2 ER -
Drápal, Aleš; Shcherbacov, Victor. Identities and the group of isostrophisms. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 347-374. http://geodesic.mathdoc.fr/item/CMUC_2012__53_3_a2/