m-weak group inverse in a ring with proper involution
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909229480148992 |
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| author | Chen, Huanyin |
| author_facet | Chen, Huanyin |
| contents | The m-weak group inverse was recently studied in the literature. The purpose of this paper is to investigate new properties of this generalized inverse for ring elements. We introduce the m-weak group decomposition for a ring element and prove that it coincides with its m-weak group invertibility. We present the equivalent characterization of the m-weak group inverse by using a polar-like property. The relations between m-weak group inverse and core-EP inverse are also established. These give some new properties of the weak group inverse for complex matrices and ring elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15745 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | m-weak group inverse in a ring with proper involution Chen, Huanyin Rings and Algebras 15A09, 16U90, 46H05 The m-weak group inverse was recently studied in the literature. The purpose of this paper is to investigate new properties of this generalized inverse for ring elements. We introduce the m-weak group decomposition for a ring element and prove that it coincides with its m-weak group invertibility. We present the equivalent characterization of the m-weak group inverse by using a polar-like property. The relations between m-weak group inverse and core-EP inverse are also established. These give some new properties of the weak group inverse for complex matrices and ring elements. |
| title | m-weak group inverse in a ring with proper involution |
| topic | Rings and Algebras 15A09, 16U90, 46H05 |
| url | https://arxiv.org/abs/2406.15745 |