2 papers
math.CO2022
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…
math.GN2021
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…