52 citations · 60 across the 7 of their papers we have counts for
8 papers · 1 filter
Følner, Banach, and translation density are equal and other new results about density in left amenable semigroups
Daniel Glasscock, Neil Hindman, Dona Strauss
In any semigroup satisfying the Strong Folner Condition, there are three natural notions of density for a subset of : Folner density , Banach density , and…
Combining extensions of the Hales-Jewett\\ Theorem with Ramsey Theory\\ in other structures
Neil Hindman, Dona Strauss, Luca Q. Zamboni
The Hales-Jewett Theorem states that given any finite nonempty set $\A$ and any finite coloring of the free semigroup over the alphabet $\A$ there is a {\it variable word\/} ov…
Duality for image and kernel partition regularity of infinite matrices
Neil Hindman, Imre Leader, Dona Strauss
A matrix A is image partition regular over Q provided that whenever Q - {0} is finitely coloured, there is a vector x with entries in Q - {0} such that the entries of Ax are monoch…
Pairwise sums in colourings of the reals
Neil Hindman, Imre Leader, Dona Strauss
Suppose that we have a finite colouring of the reals. What sumset-type structures can we hope to find in some colour class? One of our aims is to show that there is such a colourin…
Maximality of Infinite Partition Regular Matrices
Neil Hindman, Imre Leader, Dona Strauss
A finite or infinite matrix with rational entries (and only finitely many non-zero entries in each row) is called image partition regular if, whenever the natural numbers are f…
Distinguishing subgroups of the rationals by their Ramsey properties
Ben Barber, Neil Hindman, Imre Leader +1
A system of linear equations with integer coefficients is partition regular over a subset S of the reals if, whenever S\{0} is finitely coloured, there is a solution to the system…
Partition regularity without the columns property
Ben Barber, Neil Hindman, Imre Leader +1
A finite or infinite matrix A with rational entries is called partition regular if whenever the natural numbers are finitely coloured there is a monochromatic vector x with Ax=0. M…
Multiply partition regular matrices
Dennis Davenport, Neil Hindman, Imre Leader +1
Let be a finite matrix with rational entries. We say that is {\it doubly image partition regular\/} if whenever the set of positive integers is finitely colou…