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Limits of Quantum B -Algebras

Author

Listed:
  • 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)

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.

Suggested Citation

  • Aiping Gan & Aziz Muzammal & Yichuan Yang, 2021. "Limits of Quantum B -Algebras," Mathematics, MDPI, vol. 9(24), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3184-:d:699199
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