Special Issue "Non-associative Structures and Other Related Structures"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (20 December 2019).
A printed edition of this Special Issue is available here.
Interests: (co)algebras; bialgebras; Yang–Baxter equations; Lie (co)algebras; quantum groups; Hopf algebras; duality theories
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Special Issue in Axioms: Non-associative Structures, Yang–Baxter Equations and Related Topics
Non-associative algebras are currently a fashionable research direction. There are two important classes of non-associative structures: Lie structures and Jordan structures. Various Jordan structures play an important role in quantum group theory and in fundamental physical theories.
In recent years, several attempts to unify non-associative structures have led to interesting results. The UJLA structures are not the only structures which realize such a unification.
Associative algebras and Lie algebras can be unified at the level of Yang–Baxter structures. Several papers published in the open access journal Axioms deal with the Yang–Baxter equation.
The Yang–Baxter equation can be interpreted in terms of logical circuits and, in logic, it represents a kind of compatibility condition when working with many logical sentences in the same time. This equation is also related to the theory of universal quantum gates and to quantum computers. It has many applications in quantum groups and knot theory.
Contributions related to non-associative structures, various aspects of the Yang–Baxter Equation, and their applications are invited.
Dr. Florin Felix Nichita
Manuscript Submission Information
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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access quarterly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1000 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- Yang–Baxter equation
- Non-associative algebras
- Lie structures
- Jordan structures
- Associative algebras
- Unification theories
- Noncommutative algebras
- Applications in physics
- Knot invariants