Quantum-Wajsberg algebras
Quantum Algebra
2025-09-09 v5
Abstract
Starting from involutive BE algebras, we redefine the quantum-MV algebras, by introducing and studying the notion of quantum-Wajsberg algebras. We define the -commutative quantum-Wajsberg algebras and we investigate their properties. We also prove that any Wajsberg algebra is a quantum-Wajsberg algebra, and give conditions for quantum-Wajsberg algebras to be Wajsberg algebras. Furthermore, we prove that Wajsberg algebras are both quantum-Wajsberg algebras and commutative quantum-B algebras. Finally, we provide certain conditions for quantum-MV algebras to be MV algebras.
Keywords
Cite
@article{arxiv.2303.16481,
title = {Quantum-Wajsberg algebras},
author = {Lavinia Corina Ciungu},
journal= {arXiv preprint arXiv:2303.16481},
year = {2025}
}