Finite semimodules over three-element multiplicatively idempotent semirings

Автор: Vechtomov E.M., Petrov A.A., Shklyaev A.P.

Журнал: Вестник Пермского университета. Математика. Механика. Информатика @vestnik-psu-mmi

Рубрика: Математика

Статья в выпуске: 3 (66), 2024 года.

Бесплатный доступ

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.

Semiring, multiplicatively idempotent semiring, semimodule, finite semimodule, semilattice, lattice, suitable subsemilattice

Короткий адрес: https://sciup.org/147245562

IDR: 147245562   |   DOI: 10.17072/1993-0550-2024-3-5-15

Статья научная