Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/21065
Título: | Almost injective transformations of an infinite set |
Autor(es): | Gonçalves, Suzana Mendes Sullivan, R. P. |
Palavras-chave: | Almost one-to-one transformations Green's relations Ideals |
Data: | 17-Jan-2012 |
Editora: | Taylor and Francis |
Revista: | Communications in Algebra |
Resumo(s): | Let V be an infinite-dimensional vector space and let n be a cardinal such that aleph_0<=n<=dim V, and let AM(V,n) denote the semigroup consisting of all linear transformations of V whose nullity is less than n. In recent work, Mendes-Gonçalves and Sullivan studied the ideal structure of AM(V,n). Here, we do the same for a similarly-defined semigroup AM(X,q) of transformations defined on an infinite set X. Although our results are clearly comparable with those already obtained for AM(V,n), we show that the two semigroups are never isomorphic. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/21065 |
DOI: | 10.1080/00927872.2010.527880 |
ISSN: | 0092-7872 |
Versão da editora: | http://www.tandfonline.com/toc/lagb20/40/1 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
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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almost_injective.pdf Acesso restrito! | Documento principal | 195,89 kB | Adobe PDF | Ver/Abrir |