14 citations · 33 across the 6 of their papers we have counts for
8 papers · 1 filter
Loops of Bol-Moufang type with a subgroup of index two
Michael K. Kinyon, J. D. Phillips, Petr Vojtěchovský
We describe all constructions for loops of Bol-Moufang type analogous to the Chein construction for Moufang loops.
Rectangular loops and rectangular quasigroups
Michael K. Kinyon, J. D. Phillips
We solve two problems posed by Krapež by finding a basis of seven independent axioms for the variety of rectangular loops. Six of these axioms form a basis for the variety of recta…
Axioms for trimedial quasigroups
Michael K. Kinyon, J. D. Phillips
We give new equations that axiomatize the variety of trimedial quasigroups. We also improve a standard characterization by showing that right semimedial, left F-quasigroups are tri…
Diassociativity in Conjugacy Closed Loops
Michael K. Kinyon, Kenneth Kunen, J. D. Phillips
Let be a conjugacy closed loop, and its nucleus. Then contains all associators of elements of . If in addition is diassociative (i.e., an extra loop), t…
Commutants of Bol loops of Odd Order
Michael K. Kinyon, J. D. Phillips
In this note we show that the commutant of a Bol loop of odd order is a subloop.
A Note on Trimedial Quasigroups
Michael K. Kinyon, J. D. Phillips
The purpose of this brief note is to sharpen a result of Kepka about the axiomization of the variety of trimedial quasigroups.