Limits of Quantum <i>B</i>-Algebras

Limits of Quantum <i>B</i>-Algebras

Every set with a binary operation satisfying a true statement of propositional logic corresponds to a solution of the quantum Yang-Baxter equation. Quantum <i>B</i>-algebras and <i>L</i>-algebras are closely related to Yang-Baxter equation theory. In this paper, we study the...

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Bibliographic Details
Main Authors: Aiping Gan, Aziz Muzammal, Yichuan Yang
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
quantum <i>B</i>-algebras
direct limits
inverse limits
Online Access:https://www.mdpi.com/2227-7390/9/24/3184
Description
Summary:Every set with a binary operation satisfying a true statement of propositional logic corresponds to a solution of the quantum Yang-Baxter equation. Quantum <i>B</i>-algebras and <i>L</i>-algebras are closely related to Yang-Baxter equation theory. In this paper, we study the categories with quantum <i>B</i>-algebras with morphisms of exact ones or spectral ones. We guarantee the existences of both direct limits and inverse limits.
ISSN:2227-7390

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