Geodesic
Matrix representation of finite effect algebras
Kybernetika, Tome 59 (2023) no. 5, pp. 737-751

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In this paper we present representation of finite effect algebras by matrices. For each non-trivial finite effect algebra $E$ we construct set of matrices $M(E)$ in such a way that effect algebras $E_1$ and $E_2$ are isomorphic if and only if $M(E_1)=M(E_2)$. The paper also contains the full list of matrices representing all nontrivial finite effect algebras of cardinality at most $8$.
In this paper we present representation of finite effect algebras by matrices. For each non-trivial finite effect algebra $E$ we construct set of matrices $M(E)$ in such a way that effect algebras $E_1$ and $E_2$ are isomorphic if and only if $M(E_1)=M(E_2)$. The paper also contains the full list of matrices representing all nontrivial finite effect algebras of cardinality at most $8$.
DOI : 10.14736/kyb-2023-5-0737
Classification : 81P10, 81P15
Keywords: effect algebra; state of effect algebra 
Bińczak, Grzegorz; Kaleta, Joanna; Zembrzuski, Andrzej. Matrix representation of finite effect algebras. Kybernetika, Tome 59 (2023) no. 5, pp. 737-751. doi: 10.14736/kyb-2023-5-0737
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