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arXiv · 2412.16113

Identities of triangular Boolean matrices

Mikhail V. Volkov
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Abstract

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.

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Mikhail V. Volkov. 2024-12-20. Identities of triangular Boolean matrices. https://arxiv.org/abs/2412.16113

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