14 citations · 61 across the 28 of their papers we have counts for
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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…
On Twisted Subgroups and Bol Loops of Odd Order
Tuval Foguel, Michael K. Kinyon, J. D. Phillips
In the spirit of Glauberman's fundamental work in B-loops and Moufang loops, we prove Cauchy and strong Lagrange theorems for Bol loops of odd order. We also establish necessary co…
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.