Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/7449
Título: | F-regular semigroups |
Autor(es): | Smith, M. Paula Marques Giraldes, E. Mitsch, H. |
Palavras-chave: | Group-congruence Congruence-class Regular semigroup Natural partial order |
Data: | 2004 |
Editora: | Elsevier 1 |
Revista: | Journal of Algebra |
Citação: | "Journal of Algebra". ISSN 0021- 8693. 247:2 (2004) 491-510. |
Resumo(s): | A semigroup S is called F-regular if S is regular and if there exists a group congruence rho on S such that every rho-class contains a greatest element with respect to the natural partial order of S (see [K.S. Nambooripad, Proc. Edinburgh Math. Soc. 23 (1980) 249-260]). These semigroups were investigated in [C.C. Edwards, Semigroup Forum 19 (1980) 331-345] where a description similar to the F-inverse case (see [R. McFadden, L. O'Carroll, Proc. London Math. Soc. 22 (1971) 652-666]) is given. Further characterizations of F-regular semigroups, including an axiomatic one, are provided. The main objective is to give a new representation of such semigroups by means of Szendrei triples (see [M. Szendrei, Acta Sci. Math. 51 (1987) 229-249]). The particular case of F-regular semigroups S satisfying the identity (xy)* = y*x*, where x* epsilon S denotes the greatest element of the rho-class containing x epsilon S, is considered. Also the F-inversive semigroups, for which this identity holds, are characterized. (C) 2004 Elsevier Inc. All rights reserved. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/7449 |
DOI: | 10.1016/j.jalgebra.2003.09.050 |
ISSN: | 0021- 8693 |
Versão da editora: | http://www.sciencedirect.com/science?_ob= ArticleURL&_udi=B6WH2-4BP3JHP-1&_user= 10&_coverDate=04%2F15%2F2004&_alid= 664478190&_rdoc=1&_fmt=summary&_orig= search&_cdi=6838&_sort=d&_docanchor= &view=c&_ct=1&_acct=C000050221&_version= 1&_urlVersion=0&_userid=10&md5= b96ebda0467adad139ba92827e53789a |
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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f-regular.pdf | 173,28 kB | Adobe PDF | Ver/Abrir |