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arXiv · 2509.00252

On the probability of generating matrix incidence rings

N. A. Kolegov
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Abstract

The probability that a tuple of matrices together with all scalars generates a finite incidence ring is calculated. It is proved that all real and complex finite-dimensional incidence algebras are generated by two randomly chosen matrices.

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N. A. Kolegov. 2025-08-29. On the probability of generating matrix incidence rings. https://arxiv.org/abs/2509.00252

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