| Title:
|
Matrix representation of finite effect algebras (English) |
| Author:
|
Bińczak, Grzegorz |
| Author:
|
Kaleta, Joanna |
| Author:
|
Zembrzuski, Andrzej |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
59 |
| Issue:
|
5 |
| Year:
|
2023 |
| Pages:
|
737-751 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $8$. (English) |
| Keyword:
|
effect algebra |
| Keyword:
|
state of effect algebra |
| MSC:
|
81P10 |
| MSC:
|
81P15 |
| idZBL:
|
Zbl 07790659 |
| idMR:
|
MR4681020 |
| DOI:
|
10.14736/kyb-2023-5-0737 |
| . |
| Date available:
|
2023-12-12T16:00:42Z |
| Last updated:
|
2024-02-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151985 |
| . |
| Reference:
|
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| . |
