Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces
Bulletin of the Malaysian Mathematical Sciences Society(2017)
摘要
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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关键词
Ramsey algebra,Hindman’s theorem,Topological Ramsey space,Ellentuck space,03E05,05D10,03B80
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