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https://hdl.handle.net/1822/80236| Título: | Characterizations of special clean elements and applications |
| Autor(es): | Mary, Xavier Patrício, Pedro |
| Palavras-chave: | Special clean elements Unit-regular elements Strongly regular (group) elements Stable range 1 |
| Data: | 2020 |
| Editora: | University of Niš. Faculty of Science and Mathematics |
| Revista: | Filomat |
| Citação: | Mary, X., & Patrício, P. (2020). Characterizations of special clean elements and applications. Filomat. National Library of Serbia. http://doi.org/10.2298/fil2014847m |
| Resumo(s): | We prove that special clean decompositions of a given element of a ring are in one-to-one correspondence with the set of solutions of a simple equation in a corner ring. We then derive "constructive" proofs that in many rings, regular elements are special clean by solving this equation in specific cases. Other applications, such as uniqueness of decompositions, are given. Many examples of special clean decompositions of 2-2 matrices found by this methodology are also presented. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/80236 |
| DOI: | 10.2298/FIL2014847M |
| ISSN: | 0354-5180 |
| e-ISSN: | 2406-0933 |
| Versão da editora: | https://doiserbia.nb.rs/Article.aspx?ID=0354-51802014847M |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| 34-14-22-13024.pdf | 243,46 kB | Adobe PDF | Ver/Abrir |
