The largest proper congruence on S(X)
S(X) denotes the semigroup of all continuous selfmaps of the topological space X. In this paper, we find, for many spaces X, necessary and sufficient conditions for a certain type of congruence to be the largest proper congruence on S(X).
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000697 |
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| _version_ | 1850210801544069120 |
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| author | K. D. Magill |
| author_facet | K. D. Magill |
| author_sort | K. D. Magill |
| collection | DOAJ |
| description | S(X) denotes the semigroup of all continuous selfmaps of the topological space X. In this paper, we find, for many spaces X, necessary and sufficient conditions for a certain type of congruence to be the largest proper congruence on S(X). |
| format | Article |
| id | doaj-art-8dee3238ffca48ac890a7ba2e0ca47a8 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8dee3238ffca48ac890a7ba2e0ca47a82025-08-20T02:09:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017466366610.1155/S0161171284000697The largest proper congruence on S(X)K. D. Magill0Department of Mathematics, State University of New York at Buffalo, 106 Diefendorf Hall, Buffalo 14214-3093, New York, USAS(X) denotes the semigroup of all continuous selfmaps of the topological space X. In this paper, we find, for many spaces X, necessary and sufficient conditions for a certain type of congruence to be the largest proper congruence on S(X).http://dx.doi.org/10.1155/S0161171284000697semigroups of continuous selfmapslargest proper congruence. |
| spellingShingle | K. D. Magill The largest proper congruence on S(X) International Journal of Mathematics and Mathematical Sciences semigroups of continuous selfmaps largest proper congruence. |
| title | The largest proper congruence on S(X) |
| title_full | The largest proper congruence on S(X) |
| title_fullStr | The largest proper congruence on S(X) |
| title_full_unstemmed | The largest proper congruence on S(X) |
| title_short | The largest proper congruence on S(X) |
| title_sort | largest proper congruence on s x |
| topic | semigroups of continuous selfmaps largest proper congruence. |
| url | http://dx.doi.org/10.1155/S0161171284000697 |
| work_keys_str_mv | AT kdmagill thelargestpropercongruenceonsx AT kdmagill largestpropercongruenceonsx |