Reverse order law for NDMPI of dual matrices and its applications
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909729800847360 |
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| author | Verma, Tikesh Kumar, Amit Mishra, Debasisha |
| author_facet | Verma, Tikesh Kumar, Amit Mishra, Debasisha |
| contents | This manuscript establishes several sufficient conditions for the validity of both the reverse order law and forward order law for NDMPI. Additionally, some characterization of the reverse order law of the NDMPI is obtained. We also explore the applications of the reverse order law within this framework. Finally, we demonstrate the additivity of the NDMPI, supported by illustrative examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01294 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reverse order law for NDMPI of dual matrices and its applications Verma, Tikesh Kumar, Amit Mishra, Debasisha Rings and Algebras 15B05, 15A24 This manuscript establishes several sufficient conditions for the validity of both the reverse order law and forward order law for NDMPI. Additionally, some characterization of the reverse order law of the NDMPI is obtained. We also explore the applications of the reverse order law within this framework. Finally, we demonstrate the additivity of the NDMPI, supported by illustrative examples. |
| title | Reverse order law for NDMPI of dual matrices and its applications |
| topic | Rings and Algebras 15B05, 15A24 |
| url | https://arxiv.org/abs/2411.01294 |