Maximal congruences on some semigroups
In 1976 Howie proved that a finite congruence-free semigroup is a simple group if it has at least three elements but no zero element. Infinite congruence-free semigroups are far more complicated to describe, but some have been constructed using semigroups of transformations (for example, by Howie in...
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th-cmuir.6653943832-612252018-09-10T04:06:58Z Maximal congruences on some semigroups Jintana Sanwong R. P. Sullivan Mathematics In 1976 Howie proved that a finite congruence-free semigroup is a simple group if it has at least three elements but no zero element. Infinite congruence-free semigroups are far more complicated to describe, but some have been constructed using semigroups of transformations (for example, by Howie in 1981 and by Marques in 1983). Here, for certain semigroups S of numbers and of transformations, we determine all congruences ρ on S such that S/p is congruence-free, that is, we describe all maximal congruences on such semigroups S. © 2007 AMSS CAS & SUZHOU UNIV. 2018-09-10T04:06:58Z 2018-09-10T04:06:58Z 2007-01-01 Journal 10053867 2-s2.0-33947654518 10.1142/S1005386707000259 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33947654518&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61225 |
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Thailand |
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Mathematics |
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Mathematics Jintana Sanwong R. P. Sullivan Maximal congruences on some semigroups |
| description |
In 1976 Howie proved that a finite congruence-free semigroup is a simple group if it has at least three elements but no zero element. Infinite congruence-free semigroups are far more complicated to describe, but some have been constructed using semigroups of transformations (for example, by Howie in 1981 and by Marques in 1983). Here, for certain semigroups S of numbers and of transformations, we determine all congruences ρ on S such that S/p is congruence-free, that is, we describe all maximal congruences on such semigroups S. © 2007 AMSS CAS & SUZHOU UNIV. |
| format |
Journal |
| author |
Jintana Sanwong R. P. Sullivan |
| author_facet |
Jintana Sanwong R. P. Sullivan |
| author_sort |
Jintana Sanwong |
| title |
Maximal congruences on some semigroups |
| title_short |
Maximal congruences on some semigroups |
| title_full |
Maximal congruences on some semigroups |
| title_fullStr |
Maximal congruences on some semigroups |
| title_full_unstemmed |
Maximal congruences on some semigroups |
| title_sort |
maximal congruences on some semigroups |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33947654518&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61225 |
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