Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras

The study of Ramsey algebras is a Ramseyan-type study on algebras. The precise formulation of a Ramsey algebra is based on the work of Carlson on topological Ramsey spaces, from which a wide array of classical combinatorial results such as the Ellentuck theorem and Hindman’s theorem can be derived....

Full description

Saved in:

Bibliographic Details
Main Author:	Teoh, Zu Yao
Format:	Thesis
Language:	English
Published:	2018
Subjects:	QA1-939 Mathematics
Online Access:	http://eprints.usm.my/43766/1/TEOH%20ZU%20YAO.pdf
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my-usm-ep.43766
record_format	uketd_dc
spelling	my-usm-ep.437662019-04-12T05:24:52Z Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras 2018-03 Teoh, Zu Yao QA1-939 Mathematics The study of Ramsey algebras is a Ramseyan-type study on algebras. The precise formulation of a Ramsey algebra is based on the work of Carlson on topological Ramsey spaces, from which a wide array of classical combinatorial results such as the Ellentuck theorem and Hindman’s theorem can be derived. After his groundbreaking work on Ramsey spaces, Carlson suggested that, for spaces that are generated by algebras, one may pursue a purely combinatorial study of these spaces, where results of topological nature can be derived from their associated combinatorial results. Such a direction of study would then be known as Ramsey algebra. The suggestion was first pursued by Teh in his doctoral work and some basic results concerning homogeneous algebras were obtained. 2018-03 Thesis http://eprints.usm.my/43766/ http://eprints.usm.my/43766/1/TEOH%20ZU%20YAO.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1-939 Mathematics
spellingShingle	QA1-939 Mathematics Teoh, Zu Yao Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras
description	The study of Ramsey algebras is a Ramseyan-type study on algebras. The precise formulation of a Ramsey algebra is based on the work of Carlson on topological Ramsey spaces, from which a wide array of classical combinatorial results such as the Ellentuck theorem and Hindman’s theorem can be derived. After his groundbreaking work on Ramsey spaces, Carlson suggested that, for spaces that are generated by algebras, one may pursue a purely combinatorial study of these spaces, where results of topological nature can be derived from their associated combinatorial results. Such a direction of study would then be known as Ramsey algebra. The suggestion was first pursued by Teh in his doctoral work and some basic results concerning homogeneous algebras were obtained.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Teoh, Zu Yao
author_facet	Teoh, Zu Yao
author_sort	Teoh, Zu Yao
title	Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras
title_short	Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras
title_full	Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras
title_fullStr	Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras
title_full_unstemmed	Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras
title_sort	ramsey algebras: a ramseyan combinatorics for universal algebras
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik
publishDate	2018
url	http://eprints.usm.my/43766/1/TEOH%20ZU%20YAO.pdf
_version_	1747821274711719936

Ramsey Algebras: A Ramseyan Combinatorics For Universal Algebras

Similar Items