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- W4362655886 abstract "We define and study the notions of filters, deductive systems, maximal, strongly maximal and prime filters in quantum-Wajsberg algebras. We also introduce the notion of congruences induced by deductive systems of a quantum-Wajsberg algebra, and we show that there is a relationship between congruences and deductive systems. Furthermore, we define the quotient quantum-Wajsberg algebra with respect to a deductive system, and prove that the quotient quantum-Wajsberg algebra is locally finite if and only if the deductive system is strongly maximal. Finally, we define the weakly linear and quasi-linear quantum-Wajsberg algebras, and give a characterization of weakly linear quotient quantum-Wajsberg algebras." @default.
- W4362655886 created "2023-04-07" @default.
- W4362655886 creator A5042491002 @default.
- W4362655886 date "2023-04-04" @default.
- W4362655886 modified "2023-10-16" @default.
- W4362655886 title "Quotient quantum-Wajsberg algebras" @default.
- W4362655886 doi "https://doi.org/10.48550/arxiv.2304.01845" @default.
- W4362655886 hasPublicationYear "2023" @default.
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