Advances in Applied Algebra and Related Topics

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Algebra and Number Theory".

Deadline for manuscript submissions: 31 August 2025 | Viewed by 1483

Special Issue Editors


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Departmento de Matemática, Instituto Superior de Engenharia de Lisboa, Rua Conselheiro Emídio Navarro, 1, 1959-007 Lisbon, Portugal
Interests: Algebra; applied algebra; mathematical modelling

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Guest Editor
Department of Mathematics and Computer Science, Cubo 31/A, Università della Calabria, 87036 Rende, Italy
Interests: number theory; iwasawa theory; combinatorics; fibonacci numbers; mumber sequences; graph theory; unimaginable numbers; combinatorics on words; fractal geometry; polytopes; elliptic curves; cryptography; applied mathematics; cellular automata; mathematical models; chaos theory; nonlinear dynamics; shallow water
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

In this Special Issue, we focus on cutting-edge algebra applications at the crossroads of theory and application. This collection delves into the dynamic landscape where algebraic principles are powerful tools to unravel real-world challenges across diverse domains. From cryptography and computer science to data analysis and engineering applications, this Special Issue aims to spotlight the transformative impact of applied algebra.

The primary goal is to showcase recent advancements that bridge the theoretical elegance of algebraic structures with their practical utility, emphasizing their pivotal role in addressing contemporary problems. We invite contributions that demonstrate the versatility and applicability of algebraic concepts, including but not limited to linear algebra, group theory, ring theory, number theory, and polynomial algebra. The scope extends to applications in cryptography, data science, mathematical modeling, optimization problems, and beyond.

Contributors are encouraged to expose how algebraic methodologies provide innovative solutions in areas such as coding theory, computational algebra, and algebraic geometry. By bringing together researchers and practitioners, we aim to foster a rich exchange of ideas, providing a deeper understanding of how algebraic approaches contribute to the ever-evolving landscape of applied sciences. "Advances in Applied Algebra and Related Topics" aims to contribute to shaping the future of applied algebra and its profound impact on technological advancements and problem-solving methodologies.

Dr. Filipa Soares de Almeida
Prof. Dr. Fabio Caldarola
Guest Editors

Manuscript Submission Information

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Keywords

  • applied algebra
  • coding theory
  • computer science
  • cryptography
  • data analysis
  • mathematical modeling
  • number theory
  • optimization problems

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Published Papers (2 papers)

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Research

13 pages, 222 KiB  
Article
Notes on Semiprime Ideals with Symmetric Bi-Derivation
by Ali Yahya Hummdi, Öznur Gölbaşı, Emine Koç Sögütcü and Nadeem ur Rehman
Axioms 2025, 14(4), 260; https://doi.org/10.3390/axioms14040260 - 29 Mar 2025
Viewed by 182
Abstract
In this paper, we prove many algebraic identities that include symmetric bi-derivation in rings which contain a semiprime ideal. We intend to generalize previous results obtained for semiprime rings with symmetric derivation using semiprime ideals in rings. Full article
(This article belongs to the Special Issue Advances in Applied Algebra and Related Topics)
17 pages, 383 KiB  
Article
An Exploration of Ideals and Filters in Triangle Algebras
by Euclide Noumen, Fabrice Tchoua Yinga, Blaise Blériot Koguep Njionou and Chris Cornelis
Axioms 2024, 13(8), 566; https://doi.org/10.3390/axioms13080566 - 21 Aug 2024
Cited by 1 | Viewed by 724
Abstract
In the study of algebraic structures related to logical systems, ideals and filters have different meanings and are algebraic notions related to logical provable formulas. Unlike the classical Boolean lattice theory, ideals and filters are not dual notions in residuated lattices. An interesting [...] Read more.
In the study of algebraic structures related to logical systems, ideals and filters have different meanings and are algebraic notions related to logical provable formulas. Unlike the classical Boolean lattice theory, ideals and filters are not dual notions in residuated lattices. An interesting subclass of residuated lattices is the class of triangle algebras, which is an equational representation of interval-valued residuated lattices that provides an algebraic framework for using closed intervals as truth values in fuzzy logic. The main aim of this article is to introduce and study the concept of ideals in triangle algebras and investigate the connection between ideals and filters. We first point out that the construction procedure for the filter generated by a subset of a triangle algebra established by another study is incorrect, and we proceed to give an alternative characterization. Full article
(This article belongs to the Special Issue Advances in Applied Algebra and Related Topics)
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