Publicação
Semigroups of transformations restricted by an equivalence
| Resumo: | Suppose sigma is an equivalence on a set X and let E(X,sigma) denote the semigroup (under composition) of all alpha:X->X such that alpha C alpha o alpha^-1. Here we characterise Green’s relations and ideals in E(X,sigma). This is analogous to recent work by Sullivan on K(V,W), the semigroup (under composition) of all linear transformations alpha of a vector space V such that W C ker alpha, where W is a fixed subspace of V. |
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| Autores principais: | Gonçalves, Suzana Mendes |
| Outros Autores: | Sullivan, R. P. |
| Assunto: | Transformation semigroup Equivalence Green's relations Ideals |
| Ano: | 2010 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | Suppose sigma is an equivalence on a set X and let E(X,sigma) denote the semigroup (under composition) of all alpha:X->X such that alpha C alpha o alpha^-1. Here we characterise Green’s relations and ideals in E(X,sigma). This is analogous to recent work by Sullivan on K(V,W), the semigroup (under composition) of all linear transformations alpha of a vector space V such that W C ker alpha, where W is a fixed subspace of V. |
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