53 citations · 351 across the 79 of their papers we have counts for
84 papers
Loops with squares in two nuclei
Michael Kinyon, J. D. Phillips
Although little can be gleaned about a loop with the property that its squares are, say, left nuclear (), if its squares are also, say, middle nuclear ($…
Bol loops of order 27
Alexander Grishkov, Michael Kinyon, Petr Vojtěchovský
We classify Bol loops of order , using a combination of theoretical results and computer search. There are Bol loops of order , including five groups. New construction…
Loops with universal and semi-universal flexibility
Riley Britten, Michael Kinyon, Kenneth Kunen +1
We study loops which are universal (that is, isotopically invariant) with respect to the property of flexibility (). We also weaken this to semi-universality…
Conjugacy in Abstract Semigroups, Transformation and Diagram Monoids, and Conjugacy Growth
João Araújo, Wolfram Bentz, Michael Kinyon +3
We study conjugacy relations on semigroups and monoids, focusing on the relation $a \cfn b$, defined by the existence of such that , , , an…
Abelianness and centrality in inverse semigroups
Michael Kinyon, David Stanovský
We adapt the abstract concepts of abelianness and centrality of universal algebra to the context of inverse semigroups. We characterize abelian and central congruences in terms of…
Varieties of Lazy Magmas Characterized by Forbidden Substructure Theorems
João Araújo, Fernando Maia Ferreira, Michael Kinyon
A magma (or groupoid) is a set with a binary operation . Roughly speaking, a magma is said to be lazy if compositions such as depend on at most two variab…