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arXiv · 1603.09489

Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces

Zu Yao Teoh·Wen Chean Teh
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Abstract

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 combinatorial version now called Ramsey algebra. Some basic results for homogeneous algebras have been obtained. In this paper, we introduce the notion of a Ramsey algebra for heterogeneous algebras and derive some basic results. Then, we study the Ramsey-algebraic properties of vector spaces.

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Zu Yao Teoh, Wen Chean Teh. 2016-03-31. Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces. https://arxiv.org/abs/1603.09489

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