Finite Semimodules Over Three-element Multiplicatively Idempotent Semirings
- Авторлар: Vechtomov E.M.1, Petrov A.A.1, Shklyaev A.P.1
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Мекемелер:
- Vyatka State University
- Шығарылым: № 3 (66) (2024)
- Беттер: 5-15
- Бөлім: 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
Дәйексөз келтіру
Толық мәтін
Аннотация
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.
Авторлар туралы
E. Vechtomov
Vyatka State University
Хат алмасуға жауапты Автор.
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. 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. 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
Әдебиет тізімі
- Vechtomov, E. M. (2024), "On semimodules over multiplica-tively idempotent semirings", International Scientific Conference "Algebra and Mathematical Logic: theory and applications", KFU, Kazan, pp. 103–104.
- Petrov, A. A. (2024), "On commutative additive semigroups with identity 4x=2x", International Scientific Conference "Al-gebra and Mathematical Logic: Theory and Applications", KFU, Kazan, pp. 130–131.
- Vechtomov, E. M. and Petrov, A. A. (2022), "Functional alge-bra and semirings. Semirings with idempotent multiplication", Lan, St. Petersburg, 180 p.
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- Il’in, S. N. (2018), "On the homological classification of semir-ings", Results of science and technology. Series. Modern math-ematics and its applications. Thematic reviews, Vol. 158, pp. 3–22.
- Golan, J. S. (1999), "Semirings and their applications", Kluwer Academic Publishers, Dordrecht, 382 p.
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