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Kulakov Algebraic Systems on Groups Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2021, Том: 62, Номер: 6, Страницы: 1100-1109 Страниц : 10 DOI: 10.1134/S0037446621060112

Ключевые слова

512.74:512.643.8; group; groupoid; Kulakov algebraic system; loop; physical structure; semigroup; three-sorted algebra

Авторы

Neshchadim M.V. ^1,2 , Simonov A.A. ²

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
2	Novosibirsk State University, Novosibirsk, Russian Federation

We define a Kulakov algebraic systemas a three-sorted algebraic systemsatisfying the axioms of a physical structure.We prove a strong version of Ionin’s Theoremon the equivalence of the rank $ (2,2) $physical structureto the structure of an abstract group.We consider nongroup Kulakov algebraic systems andcharacterize Kulakov algebraic systems over arbitrary groups. © 2021, Pleiades Publishing, Ltd.

Neshchadim M.V. , Simonov A.A.
Kulakov Algebraic Systems on Groups
Siberian Mathematical Journal. 2021. V.62. N6. P.1100-1109. DOI: 10.1134/S0037446621060112 WOS Scopus OpenAlex

Web of science:	WOS:000723707400011
Scopus:	2-s2.0-85120168165
OpenAlex:	W3217472451

БД	Цитирований
Scopus	3
OpenAlex	3