J. Phillips

collaborators

2 papers

math.CO2026

Note as to inclusion-minimal non-Bondy systems

T. J. Kepka, P. C. Nemec, J. D. Phillips

Let $S$ be a finite set, $s = ∣ S ∣ \geq 6$ . Given a non-negative integer $t$ , there exists an inclusion-minimal non-Bondy system $A$ of size $t$ on $S$ if and only if $s+1\le t…

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…