The higher order group inverse in a ring
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918340147019776 |
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| author | Dayong, Liu Huanyin, Chen |
| author_facet | Dayong, Liu Huanyin, Chen |
| contents | This paper introduces and studies the higher-order group inverse in a ring. We extend known properties of the higher-order group inverse from complex matrices to elements of a ring and, in the process, derive new results. We further characterize when a ring element can be expressed as the sum of a higher-order group element and a nilpotent element. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14421 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The higher order group inverse in a ring Dayong, Liu Huanyin, Chen Rings and Algebras Functional Analysis 16U99, 15A09, 46H05 This paper introduces and studies the higher-order group inverse in a ring. We extend known properties of the higher-order group inverse from complex matrices to elements of a ring and, in the process, derive new results. We further characterize when a ring element can be expressed as the sum of a higher-order group element and a nilpotent element. |
| title | The higher order group inverse in a ring |
| topic | Rings and Algebras Functional Analysis 16U99, 15A09, 46H05 |
| url | https://arxiv.org/abs/2602.14421 |