Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/32353
Título: | The diamond partial order in rings |
Autor(es): | Lebtahi, Leila Patrício, Pedro Thome, Nestor |
Palavras-chave: | Star partial order Minus partial order Sharp partial order Ring Principal ideal 15A09 06A06 |
Data: | 2014 |
Editora: | Taylor and Francis |
Revista: | Linear and Multilinear Algebra |
Resumo(s): | In this paper we introduce a new partial order on a ring, namely the diamond partial order. This order is an extension of a partial order defined in a matrix setting in [J.K. Baksalary and J. Hauke, A further algebraic version of Cochran's theorem and matrix partial orderings, Linear Algebra and its Applications, 127, 157--169, 1990]. We characterize the diamond partial order on rings and study its relationships with other partial orders known in the literature. We also analyze successors, predecessors and maximal elements under the diamond order. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/32353 |
DOI: | 10.1080/03081087.2013.779272 |
ISSN: | 0308-1087 |
Versão da editora: | http://www.tandfonline.com/doi/abs/10.1080/03081087.2013.779272 |
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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diamond27nov.pdf | 221,9 kB | Adobe PDF | Ver/Abrir |