量子- mv代数-第一部分:正模代数

Sci. Ann. Comput. Sci. Pub Date : 2021-12-20 DOI:10.7561/SACS.2021.2.163

A. Iorgulescu

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引用次数: 5

摘要

我们证明了量子- mv代数的几乎所有性质都可以用前一篇论文中引入的新代数——正模代数来验证。我们对传递反对称正模(taOM)代数，MV代数的推广，提出了一个特殊的见解。我们将其与IMTL代数和NM代数联系起来。为了纪念德拉戈斯。瓦伊达(1933 - 2020)

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On Quantum-MV Algebras - Part I: The Orthomodular Algebras

We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of MV algebras. We make the connection with IMTL and NM algebras. In memoriam Dragos. Vaida (1933 – 2020)

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Sci. Ann. Comput. Sci.

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