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Algebra and Discrete Mathematics, 2019, Volume 27, Issue 1, Pages 85–98 (Mi adm695)  

RESEARCH ARTICLE

A Ramsey algebraic study of matrices

Zu Yao Teoh, Wen Chean Teh

School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Malaysia
References:
Abstract: 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.
Keywords: Ramsey algebra, Ramsey space, Ramsey theory, Hindman's theorem, matrices.
Funding agency Grant number
Ministry of Higher Education, Malaysia 203/PMATHS/6711464
The authors gratefully acknowledge the support of the Fundamental Research Grant Scheme No. 203/PMATHS/6711464 of the Ministry of Higher Education, Malaysia, and Universiti Sains Malaysia.
Received: 27.04.2017
Revised: 11.07.2017
Document Type: Article
MSC: 05C55, 05D10
Language: English
Citation: Zu Yao Teoh, Wen Chean Teh, “A Ramsey algebraic study of matrices”, Algebra Discrete Math., 27:1 (2019), 85–98
Citation in format AMSBIB
\Bibitem{TeoTeh19}
\by Zu~Yao~Teoh, Wen~Chean~Teh
\paper A Ramsey algebraic study of matrices
\jour Algebra Discrete Math.
\yr 2019
\vol 27
\issue 1
\pages 85--98
\mathnet{http://mi.mathnet.ru/adm695}
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