11 citations · 18 across the 5 of their papers we have counts for
8 papers
A non-associative incidence near-ring with a generalized Möbius function
John Johnson, Max Wakefield
There is a convolution product on 3-variable partial flag functions of a locally finite poset that produces a generalized Möbius function. Under the product this generalized Möbius…
Algebraic characterizations of some relative notions of size
Cory Christopherson, John H. Johnson
We obtain algebraic characterizations of relative notions of size in a discrete semigroup that generalize the usual combinatorial notions of syndetic, thick, and piecewise syndetic…
Residual Torsion-Free Nilpotence, Bi-Orderability and Pretzel Knots
Jonathan Johnson
The residual torsion-free nilpotence of the commutator subgroup of a knot group has played a key role in studying the bi-orderability of knot groups. A technique developed by Mayla…
Residual Torsion-Free Nilpotence, Bi-Orderability and Two-Bridge Links
Jonathan Johnson
Residual torsion-free nilpotence has proven to be an important property for knot groups with applications to bi-orderability and ribbon concordance. Mayland proposed a strategy to…
Revisiting the nilpotent polynomial Hales-Jewett theorem
John H. Johnson, Florian Karl Richter
Answering a question posed by Bergelson and Leibman in [6], we establish a nilpotent version of the polynomial Hales-Jewett theorem that contains the main theorem in [6] as a speci…
New polynomial and multidimensional extensions of classical partition results
Vitaly Bergelson, John H. Johnson, Joel Moreira
In the 1970s Deuber introduced the notion of -sets in and showed that these sets are partition regular and contain all linear partition regular configurations…
A new and simpler noncommutative central sets theorem
John H. Johnson
Using dynamics, Furstenberg defined the concept of a central subset of positive integers and proved several powerful combinatorial properties of central sets. Later using the algeb…
A dynamical characterization of C sets
John H. Johnson
Furstenberg, using tools from topological dynamics, defined the notion of a central subset of positive integers, and proved a powerful combinatorial theorem about such sets. Using…