J. Phillips

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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.GR2023

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 ( $x y \cdot x = x \cdot y x$ ). We also weaken this to semi-universality…