Marginal sets in semigroups and semirings
In 2019, V. A. Roman'kov introduced the concept of marginal sets for groups. He developed a theory of marginal sets and demonstrated how these sets can be applied to improve some key exchange schemes. In this paper, we extend his ideas and introduce the concept of marginal sets for semigroups and semirings. For tropical matrix semigroups and semirings, we describe how some marginal sets can be constructed. We apply marginal sets to improve some key exchange schemes over semigroups.
Authors
- R. Perumal (ORCID: https://orcid.org/0000-0002-7137-0485)
- Ivan M. Buchinskiy (ORCID: https://orcid.org/0000-0001-8637-9127)
- M. A. Kotov (ORCID: https://orcid.org/0000-0002-2586-1240)
- A. Ponmaheshkumar
Institutions
- SRM Institute of Science and Technology (IN)
- Indian Institute of Information Technology Design and Manufacturing Jabalpur (IN)
- Sobolev Institute of Mathematics (RU)
- Institute of Engineering Science (RU)
Publication Details
- Journal
- International Journal of Computer Mathematics Computer Systems Theory
- Published
- 2026-05-18
- DOI
- https://doi.org/10.1080/23799927.2026.2676257
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Science and Higher Education of the Russian Federation