11 citations · 18 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…