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https://hdl.handle.net/1822/11153| Título: | A congruence-free semigroup associated with an infinite cardinal number |
| Autor(es): | Smith, M. Paula Marques |
| Palavras-chave: | Congruence-free Infinite cardinal Transformations Idempotent-generated |
| Data: | 1983 |
| Editora: | Cambridge University Press |
| Revista: | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
| Citação: | "Proceedings of the Royal Society of Edinburgh". ISSN 0308-2105. 93A (1983) 245-257. |
| Resumo(s): | Let X be a set with infinite cardinality m and let Qm be the semigroup of balanced elements in T (X ), as described by Howie. If I is the ideal {α ∈ Qm : |X α| < m} then the Rees factor Pm = Qm/I is 0 −bisimple and idempotent-generated. Its minimum non-trivial homomorphic image P∗m has both these properties and is congruence-free. Moreover, P∗m has depth 4, in the sense that [E(P∗m)]4 = P∗m and [E(P∗m )]3 ≠ P∗m. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/11153 |
| ISSN: | 0308-2105 |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| Abstract_Cong-free_sgp.pdf | 33,44 kB | Adobe PDF | Ver/Abrir |
