矩阵的Ramsey代数研究
A Ramsey Algebraic Study of Matrices
摘要：
拓扑Ramsey空间的概念是由Carlson在大约30年前提出的。研究拓扑拉姆齐空间的变量词，卡尔森能够得出许多经典的组合结果在一个统一的方式。对于代数生成的空间类，卡尔森建议人们应该尝试一种纯粹的组合方法来研究。这种方法后来被公式化并命名为拉姆齐代数。本文继续研究异质Ramsey代数，主要刻画了各种涉及矩阵的Ramsey代数。
英文摘要：
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 classical combinatorial results in a unifying manner. For the class of spaces generated by algebras, Carlson had suggested that one should attempt a purely combinatorial approach to the study. This approach was later formulated and named Ramsey algebra. In this paper, we continue to look at heterogeneous Ramsey algebras, mainly characterizing various Ramsey algebras involving matrices.
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