MATRIX REPRESENTATION OF FINITE EFFECT ALGEBRAS

被引：1

作者：

Binczak, Grzegorz ^{[1
]}

Kaleta, Joanna ^{[2
]}

Zembrzuski, Andrzej ^{[3
]}

机构：

[1] Warsaw Univ Technol, Fac Math & Informat Sci, Dept Algebra & Combinator, PL-00662 Warsaw, Poland

[2] Warsaw Univ Life Sci, Fac Appl Informat & Math, Dept Appl Math, PL-02787 Warsaw, Poland

[3] Warsaw Univ Life Sci, Fac Appl Informat & Math, Dept Informat, PL-02787 Warsaw, Poland

来源：

KYBERNETIKA | 2023年 / 59卷 / 05期

关键词：

effect algebra; state of effect algebra;

D O I：

10.14736/kyb-2023-5-0737

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we present representation of finite effect algebras by matrices. For each nontrivial finite effect algebra E we construct set of matrices M(E) in such a way that effect algebras E1 and E2 are isomorphic if and only if M(E1) = M(E2). The paper also contains the full list of matrices representing all nontrivial finite effect algebras of cardinality at most 8.

引用

页码：737 / 751

页数：15

共 12 条

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[2]

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[4]

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