Symmetric Ordered Algebraic Structures and Lattice Theory

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 31 May 2025 | Viewed by 1019

Special Issue Editor


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Guest Editor
Center for Information Technologies and Applied Mathematics, University of Nova Gorica, SI-5000 Nova Gorica, Slovenia
Interests: algebraic coding theory; commutative algebra; hypercompositional algebra; ordered algebra; lattice theory
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Special Issue Information

Dear Colleagues,

This Special Issue will explore the subject of ordered sets and lattices in different algebraic structures such as commutative algebra, homological algebra, computational algebra, ordered algebra, and hypercompositional algebra, with an emphasis on symmetry relations. The other purpose of this Special Issue is to investigate the application of lattice theory to physics, computer science, and other disciplines.

This Special Issue presents high-quality papers of original research in the field of algebra and the connection between algebraic structures, symmetric relations, ordered sets, and lattices. Articles from related research areas that have a significant bearing on algebra will also be considered. In addition, new theoretical aspects as well as practical applications representing current research directions on this topic are welcome.

Dr. Hashem Bordbar
Guest Editor

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. Symmetry is an international peer-reviewed open access monthly 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 2400 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

  • algebraic structures
  • ordered algebra
  • commutative algebra
  • homological algebra
  • hypercompositional algebra
  • coding theory

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Published Papers (1 paper)

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Research

31 pages, 530 KiB  
Article
A Note on Neutrosophic Soft Set over Hyperalgebras
by Serkan Onar
Symmetry 2024, 16(10), 1288; https://doi.org/10.3390/sym16101288 - 1 Oct 2024
Viewed by 680
Abstract
This research aims to introduce and explore the theory of neutrosophic soft hyperalgebras (NSHAs), focusing on their core principles and potential applications in decision-making under uncertainty. By defining key operations such as intersection and union, we clarify the [...] Read more.
This research aims to introduce and explore the theory of neutrosophic soft hyperalgebras (NSHAs), focusing on their core principles and potential applications in decision-making under uncertainty. By defining key operations such as intersection and union, we clarify the foundational characteristics of NSHAs and their relationship to soft hyperalgebras. The concepts of ξβ-identity NSHA and ξ-absolute NSHA are also examined to better understand their properties. The practical relevance of NSHA is demonstrated through applications in various fields, highlighting its adaptability in addressing complex decision-making scenarios. This approach offers a novel, more precise method for navigating uncertainty in areas such as project methodology selection, sensitivity analysis, and AI chatbot selection. Full article
(This article belongs to the Special Issue Symmetric Ordered Algebraic Structures and Lattice Theory)
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