Homeira Pajoohesh

The Relationship of Partial Metric Varieties and Commuting Powers Varieties

Holland et al. (Algebra Univers 67:1–18, 2012) considered varieties

The combinatorics of all regular flexagons

{\mathcal E}_n

Topologies arising from metrics valued in abelian ℓ-groups

of lattice-ordered groups defined by partial metrics, and showed for all n that

Intrinsic generalized metrics

{\mathcal E}_n

k -metric spaces

is contained within the variety

Topologies on abelian lattice ordered groups induced by a positive filter and completeness

{\mathcal L}_n

Generalized commutativity of lattice-ordered groups II

defined by xnyn = ynxn. They also showed that if n were prime, then

The relationship of partial metric varieties and commuting powers varieties II

{\mathcal E}_n = {\mathcal L}_n

Fixed points of continuous DCPOs

. Letting

Counting the Mathematical Faces of All Regular Flexagons

{\mathcal A}^2