Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/16876
Título: | Nilpotents and congruences on semigroups of transformations with fixed rank |
Autor(es): | Smith, M. Paula Marques Sullivan, R. P. |
Palavras-chave: | Nilpotent transformations Congruences Semigroups Rank |
Data: | 1995 |
Editora: | Cambridge University Press |
Revista: | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
Resumo(s): | In1998, Howie and Marques-Smith studied Pm, a Rees quotient semigroup of transformations associated with a regular cardinal m, and described the elements which can be written as a product of nilpotents in Pm. In 1981, Marques proved that if ∆m denotes the Malcev congruence on Pm, then Pm/∆m is congruence-free for any infinite m. In this paper, we describe the products of nilpotentes in Pm, when m is non-regular, and determine all the congruences on Pm when m is an arbitrary infinite cardinal. We also investigate when a nilpotent is a product of idempotents. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/16876 |
ISSN: | 0308-2105 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Nilp_Transf.pdf | Documento integral | 2,22 MB | Adobe PDF | Ver/Abrir |