On the probability of generating matrix incidence rings
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909761117618176 |
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| author | Kolegov, N. A. |
| author_facet | Kolegov, N. A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the probability of generating matrix incidence rings Kolegov, N. A. Combinatorics Rings and Algebras 16S50, 06A11, 60C05 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. |
| title | On the probability of generating matrix incidence rings |
| topic | Combinatorics Rings and Algebras 16S50, 06A11, 60C05 |
| url | https://arxiv.org/abs/2509.00252 |