Non-associative Structures and Their Applications in Physics and Geometry
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: 10 January 2025 | Viewed by 11450
Special Issue Editors
Interests: non-associative algebras; superalgebras; n-ary algebras
Special Issue Information
Dear colleagues,
The modern development of geometry, mathematical physics, biology and so on brings new non-associative algebraic structures, such as Poisson algebras, n-ary algebras, bialgebras, dialgebras, quandles, racks, and so on.
These needs fall into two broad groups: purely technological needs, and theoretical needs associated with developments in both applied algebra and other branches of mathematics. After all, it is not unreasonable to think that algebra is something like the "mathematics of mathematics".
There are many branches of algebra whose contributions solve problems posed by the scientific challenges arising from the advancement of technology. Two of them also stand out for their popularity in society: cryptography and coding theory.
Additionally, from the theoretical point of view, is remarkable the momentum that some disciplines have had in the last 20 years. Thus, axial algebras have been given a big push with the emergence of the connections with Moonshine theory. Additionally, the emergence of Hopf Algebras has made a huge impact on many branches of mathematics and physics. Additionally, of course, one cannot forget very active branches with immense applications at all times: module theory and quivers representation theory.
Thus, we present this Special Issue of Mathematics as a tool to show recent and interesting results on the branches of non-associative algebra and related structures.
Dr. Ivan Kaygorodov
Prof. Dr. Yunhe Sheng
Guest Editors
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.
Keywords
- non-associative algebras
- superalgebras
- n-ary algebras
- Poisson algebras
- quandles
- braces
- racks
- bialgebras
- differential equations
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.
Further information on MDPI's Special Issue polices can be found here.