Finite Semimodules Over Three-element Multiplicatively Idempotent Semirings
- Authors: Vechtomov E.M.1, Petrov A.A.1, Shklyaev A.P.1
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Affiliations:
- Vyatka State University
- Issue: No 3 (66) (2024)
- Pages: 5-15
- Section: Mathematics
- URL: https://journal-vniispk.ru/1993-0550/article/view/307278
- DOI: https://doi.org/10.17072/1993-0550-2024-3-5-15
- ID: 307278
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Abstract
In this paper we study the structure of finite semimodules over three-element multiplicatively idempotent semirings. The main attention is paid to the case of three-element idempotent semirings. Semimodules containing at most 6 elements over three-element idempotent semirings are described.
About the authors
E. M. Vechtomov
Vyatka State University
Author for correspondence.
Email: vecht@mail.ru
Doctor of Physical and Mathematical Sciences, Professor, Head of the Department of Fundamental Mathematics 36, Moskovskaya St., Kirov, Russia, 610000
A. A. Petrov
Vyatka State University
Email: apetrov43@mail.ru
Candidate of Physical and Mathematical Sciences, Associate Professor of Department of Fundamental Mathematics 36, Moskovskaya St., Kirov, Russia, 610000
A. P. Shklyaev
Vyatka State University
Email: sascha.schlyaev@yandex.ru
Bachelor of the Fourth Year of Study in the Field of Mathematics and Computer Science 36, Moskovskaya St., Kirov, Russia, 610000
References
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