Identities of triangular Boolean matrices
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912631938351104 |
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| author | Volkov, Mikhail V. |
| author_facet | Volkov, Mikhail V. |
| contents | We give a combinatorial characterization of the identities holding in the semiring of all upper triangular Boolean $n\times n$-matrices and apply the characterization to computational complexity of identity checking, finite axiomatizability of equational theories, and algebraic descriptions of certain classes of recognizable languages. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Identities of triangular Boolean matrices Volkov, Mikhail V. Group Theory Combinatorics 20M07 16Y60 68Q17 68Q45 We give a combinatorial characterization of the identities holding in the semiring of all upper triangular Boolean $n\times n$-matrices and apply the characterization to computational complexity of identity checking, finite axiomatizability of equational theories, and algebraic descriptions of certain classes of recognizable languages. |
| title | Identities of triangular Boolean matrices |
| topic | Group Theory Combinatorics 20M07 16Y60 68Q17 68Q45 |
| url | https://arxiv.org/abs/2412.16113 |