Limits of Quantum B -Algebras

Aiping Gan, Aziz Muzammal and Yichuan Yang
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Aiping Gan: School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, China
Aziz Muzammal: School of Mathematical Sciences, Shahe Campus, Beihang University, Beijing 102206, China
Yichuan Yang: School of Mathematical Sciences, Shahe Campus, Beihang University, Beijing 102206, China

Mathematics, 2021, vol. 9, issue 24, 1-12

Abstract: Every set with a binary operation satisfying a true statement of propositional logic corresponds to a solution of the quantum Yang-Baxter equation. Quantum B -algebras and L -algebras are closely related to Yang-Baxter equation theory. In this paper, we study the categories with quantum B -algebras with morphisms of exact ones or spectral ones. We guarantee the existences of both direct limits and inverse limits.

Keywords: quantum B -algebras; direct limits; inverse limits (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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