Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/66087| Título: | A note on clean elements and inverses along an element |
| Autor(es): | Zhu, Huihui Patrício, Pedro |
| Palavras-chave: | inverses along an element one-sided inverses along an element clean elements strongly clean decompositions special clean decompositions |
| Data: | 2018 |
| Editora: | University of Niš. Faculty of Sciences and Mathematics |
| Revista: | Filomat |
| Citação: | Zhu, H., & Patrício, P. (2018). A note on clean elements and inverses along an element. Filomat. National Library of Serbia. http://doi.org/10.2298/fil1812285z |
| Resumo(s): | Let R be an associative ring with unity 1 and let a, d is an element of R. An element a is an element of R is called invertible along d if there exists unique a(parallel to d) such that a(parallel to d) ad = d = daa(parallel to d) and a(parallel to d )is an element of dR boolean AND Rd (see [6, Definition 4]). In this note, we present new characterizations for the existence of a(parallel to d )by clean decompositions of ad and da. As applications, existence criteria for the Drazin inverse and the group inverse are given. |
| Tipo: | Artigo |
| URI: | https://hdl.handle.net/1822/66087 |
| DOI: | 10.2298/FIL1812285Z |
| ISSN: | 0354-5180 |
| e-ISSN: | 2406-0933 |
| Versão da editora: | http://www.doiserbia.nb.rs/img/doi/0354-5180/2018/0354-51801812285Z.pdf |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| FIL-template.pdf | 112,7 kB | Adobe PDF | Ver/Abrir |
