Idempotent & Nilpotent Operators and Matrices in Bicomplex Space
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912562694586368 |
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| author | Anjali, Anjali Prakash, Akhil Amita, Amita Tomar, Neeraj Kumar |
| author_facet | Anjali, Anjali Prakash, Akhil Amita, Amita Tomar, Neeraj Kumar |
| contents | This paper explores idempotent and nilpotent operators in bicomplex spaces, focusing on their properties and behavior. We define idempotent and nilpotent matrices in this framework and derive related results. Several theorems are presented to establish conditions for the existence and behavior of bicomplex idempotent and nilpotent operators and bicomplex idempotent matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00784 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Idempotent & Nilpotent Operators and Matrices in Bicomplex Space Anjali, Anjali Prakash, Akhil Amita, Amita Tomar, Neeraj Kumar Representation Theory Group Theory Rings and Algebras Primary 15A04, 15A30, Secondary 30G35 This paper explores idempotent and nilpotent operators in bicomplex spaces, focusing on their properties and behavior. We define idempotent and nilpotent matrices in this framework and derive related results. Several theorems are presented to establish conditions for the existence and behavior of bicomplex idempotent and nilpotent operators and bicomplex idempotent matrices. |
| title | Idempotent & Nilpotent Operators and Matrices in Bicomplex Space |
| topic | Representation Theory Group Theory Rings and Algebras Primary 15A04, 15A30, Secondary 30G35 |
| url | https://arxiv.org/abs/2509.00784 |