Research in Mathematics

Combinatorial aspects of Algebraic Structures

Algebraic structures model, from a mathematical point of view, the interaction of elements within a particular set based on different rules, called axioms. Therefore they are non-empty sets endowed with some operations, called also compositions lows, that are functions combining two elements from the underlying set into a new element of the same set (this is the case of the classical algebraic structures) or in a non-empty subset of elements of the underlying set (this happens in the hypercompositional structures). Algebraic structures provide a precise language to describe and analyse mathematical objects, enhancing clarity and rigor.

Algebraic structures are fundamental in different research fields, spanning from cryptography, coding theory, physics, to computer science, and engineering. It is well-known that group theory is used to study symmetries in nature, physics, and chemistry, while elements from hypergroup and hyperring theory have been used to solve problems in number theory, geometry, or algebraic topology.

The Article Collections aims to publish original research articles and overview papers on arguments related (but not limited) to:

• semigroups and semihypergroups,
• groups and hypergroups,
• semirings,
• rings and hyperrings,
• nearrings and near-hyperrings,
• fields and hyperfields,
• modules and hypermodules,
• ordered algebras and ordered hyperalgebras, etc.

Theoretical aspects of the algebraic structures as well as their applications and connections with other fields (as graph theory, fuzzy sets, logics, geometry, number theory, probability, topology, etc.) should be clearly emphasized in the submitted manuscripts.

Keywords:semigroup and group, semihypergroup and hypergroup, ring and hyperrings, field and hyperfields, vector space and hypervector space, ordered structure

Manuscript Submissions:

Manuscript submission is open until 31st January 2026.

Please carefully review the journal scope and author submission instructions prior to submitting an abstract as it will be rejected if it does not fall within the scope of the journal.

All manuscripts submitted to this Article Collection will undergo desk assessment and peer-review as part of our standard editorial process. Manuscripts which do not fall within the scope of the journal will be rejected.

To submit your papers to this Article Collection, please:

1. Check "yes" for the question, "Are you submitting your paper for a specific special issue or article collection?"
2. Select the relevant Article Collection from the drop-down menu under the question, "Combinatorial aspects of Algebraic Structures"

Remember to include the 10% Discount code: OAMA-2026-C36146  at the point of submission before you submit your manuscript as discount codes cannot be applied retroactively.

We do have a limited amount of 20% Discount codes only available for those who are able to submit an Abstract. It should be noted that discount codes cannot be combined and that only the higher discount would be applicable.

Please contact Christopher Montgomery, Commissioning Editor, with any other queries and discount codes regarding this Article Collection.

Article Collection Guest Advisors

Associate Professor Irina Cristea works at the University of Nova Gorica, Slovenia, where she leads the Centre for Information Technologies and Applied Mathematics. Her research interests are related to the theory of hypercompositional algebra, having published more than 80 articles in journals indexed by Scopus or Web of Science and co-authored one book “Fuzzy Algebraic Hyperstructures: An Introduction”, published by Springer in 2015. Over the past 4 years, she has been acted as chief editor of Italian Journal of Pure and Applied Mathematics and as a member of the editorial board of other international journals. Besides she has been guest editor of 5 special issues related to algebraic structure theory.