A Ramsey algebraic study of matrices
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 th...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2019 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188425 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Ramsey algebraic study of matrices / Z.Y. Teoh, W.C. Teh // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 85–98. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862733717985820672 |
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| author | Teoh, Z.Y. Teh, W.C. |
| author_facet | Teoh, Z.Y. Teh, W.C. |
| citation_txt | A Ramsey algebraic study of matrices / Z.Y. Teoh, W.C. Teh // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 85–98. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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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| first_indexed | 2025-12-07T19:38:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188425 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:38:29Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Teoh, Z.Y. Teh, W.C. 2023-02-28T19:18:05Z 2023-02-28T19:18:05Z 2019 A Ramsey algebraic study of matrices / Z.Y. Teoh, W.C. Teh // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 85–98. — Бібліогр.: 13 назв. — англ. 1726-3255 2010 MSC: 05C55, 05D10. https://nasplib.isofts.kiev.ua/handle/123456789/188425 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. 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A Ramsey algebraic study of matrices Article published earlier |
| spellingShingle | A Ramsey algebraic study of matrices Teoh, Z.Y. Teh, W.C. |
| title | A Ramsey algebraic study of matrices |
| title_full | A Ramsey algebraic study of matrices |
| title_fullStr | A Ramsey algebraic study of matrices |
| title_full_unstemmed | A Ramsey algebraic study of matrices |
| title_short | A Ramsey algebraic study of matrices |
| title_sort | ramsey algebraic study of matrices |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188425 |
| work_keys_str_mv | AT teohzy aramseyalgebraicstudyofmatrices AT tehwc aramseyalgebraicstudyofmatrices AT teohzy ramseyalgebraicstudyofmatrices AT tehwc ramseyalgebraicstudyofmatrices |