18 citations · 28 across the 17 of their papers we have counts for
5 papers · 1 filter
A Ramsey Algebraic Study of Matrices
Zu Yao Teoh, Wen Chean Teh
The notion of a topological Ramsey space was introduced by Carlson some 30 years ago. Studying the topological Ramsey space of variable words, Carlson was able to derive many class…
Are Ramsey Algebras Essentially Semigroups
ZuYao Teoh, Andrew Rajah, Wen Chean Teh
It is known that semigroups are Ramsey algebras. This paper is an attempt to understand the role associativity plays in a binary system being a Ramsey algebra. Specifically, we sho…
Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces
Zu Yao Teoh, Wen Chean Teh
Carlson introduced the notion of a Ramsey space as a generalization to the Ellentuck space. When a Ramsey space is induced by an algebra, Carlson suggested a study of its purely co…
Ramsey Orderly Algebras as a New Approach to Ramsey Algebras
Wen Chean Teh, Zu Yao Teoh
Ramsey algebras are algebras that induce Ramsey spaces, which are generalizations of the Ellentuck space and Milliken's space. Previous work suggests a possible local version of Ra…
Ramsey Algebra and the Existence of Idempotent Ultrafilters
Wen Chean Teh
Hindman's Theorem says that every finite coloring of the positive natural numbers has a monochromatic set of finite sums. Ramsey algebras, recently introduced, are structures that…