Limits of quantum b-algebras

Aiping Gan; Aziz Muzammal; Yichuan Yang

doi:10.3390/math9243184

Limits of quantum b-algebras

Aiping Gan
, Aziz Muzammal
, Yichuan Yang^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	3184
Journal	Mathematics
Volume	9
Issue number	24
DOIs	https://doi.org/10.3390/math9243184
State	Published - 1 Dec 2021

Keywords

Direct limits
Inverse limits
Quantum B-algebras

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10.3390/math9243184

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N2 - 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.

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Limits of quantum b-algebras

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Keywords

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