Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/50142
Título: | The one-sided inverse along an element in semigroups and rings |
Autor(es): | Jianlong Chen Honglin Zou Huihui Zhu Patrício, Pedro |
Palavras-chave: | Inverse along an element Rings semigroups Von Neumann regularity |
Data: | 1-Out-2017 |
Editora: | Birkhäuser Basel |
Revista: | Mediterranean Journal of Mathematics |
Resumo(s): | The concept of the inverse along an element was introduced by Mary in 2011. Later, Zhu et al. introduced the one-sided inverse along an element. In this paper, we first give a new existence criterion for the one-sided inverse along a product and characterize the existence of Moore–Penrose inverse by means of one-sided invertibility of certain element in a ring. In addition, we show that a∈ S † ⋂ S # if and only if (a∗a)k is invertible along a if and only if (aa∗)k is invertible along a in a ∗ -monoid S, where k is an arbitrary given positive integer. Finally, we prove that the inverse of a along aa ∗ coincides with the core inverse of a under the condition a∈ S { 1 , 4 } in a ∗ -monoid S. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/50142 |
DOI: | 10.1007/s00009-017-1017-4 |
ISSN: | 1660-5446 |
e-ISSN: | 1660-5454 |
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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the-inverse-along-an-element.pdf | 286,64 kB | Adobe PDF | Ver/Abrir |