Ramsey algebras and formal orderly terms

WC Teh - 2017 - projecteuclid.org
Hindman's theorem says that every finite coloring of the natural numbers has a
monochromatic set of finite sums. A Ramsey algebra is a structure that satisfies an analogue …

[PDF][PDF] Ramsey Algebras and Strongly Reductible Ultrafilters.

WC Teh - Bulletin of the Malaysian Mathematical Sciences …, 2014 - kurims.kyoto-u.ac.jp
Hindman's Theorem says that every finite coloring of the positive natural numbers has a
monochromatic set of finite sums. A Ramsey algebra is a structure that satisfies an analogue …

Ramsey algebras and the existence of idempotent ultrafilters

WC Teh - Archive for Mathematical Logic, 2016 - Springer
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 …

Heterogeneous Ramsey algebras and classification of Ramsey vector spaces

ZY Teoh, WC Teh - Bulletin of the Malaysian Mathematical Sciences …, 2018 - Springer
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 …

Role of associativity in Ramsey algebras

A Rajah, WC Teh, ZY Teoh - Proceedings-Mathematical Sciences, 2017 - Springer
Role of associativity in Ramsey algebras | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Proceedings …

A Ramsey algebraic study of matrices

ZY Teoh, WC Teh - arXiv preprint arXiv:1706.00565, 2017 - arxiv.org
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 …

Ramsey Orderly Algebras as a New Approach to Ramsey Algebras

WC Teh, ZY Teoh - arXiv preprint arXiv:1511.06048, 2015 - arxiv.org
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 …

Structural Considerations of Ramsey Algebras

T ZU YAO - The Journal of Symbolic Logic, 2022 - cambridge.org
Ramsey algebras are an attempt to investigate Ramsey spaces generated by algebras in a
purely combinatorial fashion. Previous studies have focused on the basic properties of …

[PDF][PDF] Are Ramsey Algebras Essentially Semigroups

A Rajah, WC Teh, ZY Teoh - preprint - researchgate.net
Are Ramsey Algebras Essentially Semigroups Page 1 Are Ramsey Algebras Essentially
Semigroups ∗† Andrew Rajah School of Mathematical Sciences, Universiti Sains Malaysia …

[PDF][PDF] RAMSEY ALGEBRAS

ZY Teoh - 2020 - people.clas.ufl.edu
Let A be a set and let F be a family of finitary functions on A. Then an n-ary function f is called
an orderly composition of F if there exists h, h1, h2,..., hn∈ F and pairwise distinct strings x1 …