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arXiv · 2509.00784

Idempotent & Nilpotent Operators and Matrices in Bicomplex Space

Anjali Anjali·Akhil Prakash·Amita Amita·Neeraj Kumar Tomar
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Abstract

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.

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BibTeXRIS

Anjali Anjali, Akhil Prakash, Amita Amita, Neeraj Kumar Tomar. 2025-08-31. Idempotent & Nilpotent Operators and Matrices in Bicomplex Space. https://doi.org/10.5281/zenodo.17051736

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