On WD and WDMP generalized inverses in rings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913980983803904 |
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| author | Kumar, Amit Mishra, Debasisha |
| author_facet | Kumar, Amit Mishra, Debasisha |
| contents | Motivated by the very recent work of Gao, Y., Chen, J., Wang, J., Zou, H. [Comm. Algebra, 49(8) (2021) 3241-3254; MR4283143], we introduce two new generalized inverses named weak Drazin (WD) and weak Drazin Moore-Penrose (WDMP) inverses for elements in rings. A few of their properties are then provided, and the fact that the proposed generalized inverses coincide with different well-known generalized inverses under certain assumptions is established. Further, we discuss additive properties, reverse-order law and forward-order law for WD and WDMP generalized inverses. Some examples are also provided in support of the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_06651 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On WD and WDMP generalized inverses in rings Kumar, Amit Mishra, Debasisha Rings and Algebras 15A09, 16W10. Preprint submitted to ..... March 12, 2023 15A09, 16W10. Preprint submitted to ..... March 12, 2023 15A09, 16W10 Motivated by the very recent work of Gao, Y., Chen, J., Wang, J., Zou, H. [Comm. Algebra, 49(8) (2021) 3241-3254; MR4283143], we introduce two new generalized inverses named weak Drazin (WD) and weak Drazin Moore-Penrose (WDMP) inverses for elements in rings. A few of their properties are then provided, and the fact that the proposed generalized inverses coincide with different well-known generalized inverses under certain assumptions is established. Further, we discuss additive properties, reverse-order law and forward-order law for WD and WDMP generalized inverses. Some examples are also provided in support of the theoretical results. |
| title | On WD and WDMP generalized inverses in rings |
| topic | Rings and Algebras 15A09, 16W10. Preprint submitted to ..... March 12, 2023 15A09, 16W10. Preprint submitted to ..... March 12, 2023 15A09, 16W10 |
| url | https://arxiv.org/abs/2303.06651 |