The commingling of commutativity and associativity in Bol loops
Commentationes Mathematicae Universitatis Carolinae (2016)
- Volume: 57, Issue: 4, page 555-565
- ISSN: 0010-2628
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topPhillips, Jon D.. "The commingling of commutativity and associativity in Bol loops." Commentationes Mathematicae Universitatis Carolinae 57.4 (2016): 555-565. <http://eudml.org/doc/287559>.
@article{Phillips2016,
abstract = {Commutative Moufang loops were amongst the first (nonassociative) loops to be investigated; a great deal is known about their structure. More generally, the interplay of commutativity and associativity in (not necessarily commutative) Moufang loops is well known, e.g., the many associator identities and inner mapping identities involving commutant elements, especially those involving the exponent three. Here, we investigate all of this in the variety of Bol loops.},
author = {Phillips, Jon D.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Bol; Moufang; loop; commutant; associator},
language = {eng},
number = {4},
pages = {555-565},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The commingling of commutativity and associativity in Bol loops},
url = {http://eudml.org/doc/287559},
volume = {57},
year = {2016},
}
TY - JOUR
AU - Phillips, Jon D.
TI - The commingling of commutativity and associativity in Bol loops
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 4
SP - 555
EP - 565
AB - Commutative Moufang loops were amongst the first (nonassociative) loops to be investigated; a great deal is known about their structure. More generally, the interplay of commutativity and associativity in (not necessarily commutative) Moufang loops is well known, e.g., the many associator identities and inner mapping identities involving commutant elements, especially those involving the exponent three. Here, we investigate all of this in the variety of Bol loops.
LA - eng
KW - Bol; Moufang; loop; commutant; associator
UR - http://eudml.org/doc/287559
ER -
References
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