M. Kinyon

collaborators

4 papers

math.GR2026

Conjugacy in Abstract Semigroups, Transformation and Diagram Monoids, and Conjugacy Growth

JoÃ£o AraÃºjo, 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 $g, h \in S^{1}$ such that $a g = g b$ , $bh = ha$ , $ha g = b$ , an…

math.GR2025

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 ( $xx \cdot y z = (xx \cdot y) z$ ), if its squares are also, say, middle nuclear ($…

math.GR2025

Bol loops of order 27

Alexander Grishkov, Michael Kinyon, Petr VojtÄchovskÃ½

We classify Bol loops of order $27$ , using a combination of theoretical results and computer search. There are $15$ Bol loops of order $27$ , including five groups. New construction…

math.RA2025

Strongly right alternative rings and Bol loops

Michael Kinyon, J. D. Phillips

We partially answer two questions of Goodaire by showing that in a finite, strongly right alternative ring, the set of units (if the ring is with unity) is a Bol loop under ring mu…