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

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Authors: Department of Informatics and Economic Cybernetics, Bucharest University of Economic Studies, Bucharest, Romania, Afrodita Iorgulescu

Year

2021

Paper ID

13664

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

51

Citations

0

Abstract

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper.

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References & Citation Signals

[1] DOI https://doi.org/10.7561/sacs.2021.2.163 [2] Publisher https://doi.org/10.7561/sacs.2021.2.163

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-10-23 00:37:08

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