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On 3-generated axial algebras of Jordan type 1/2 Научная публикация

Журнал

Communications in Mathematics
ISSN: 1804-1388 , E-ISSN: 2336-1298

Вых. Данные

Год: 2025, Том: 33, Номер: 3, Номер статьи : 4, Страниц : 12 DOI: 10.46298/cm.13307

Ключевые слова

Axial algebras, Jordan type algebras

Авторы

Bildanov Ravil ^1,2 , Gorshkov Ilya ³

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University
3	Novosibirsk State Technical University

Информация о финансировании (1)

Фонд развития теоретической физики и математики «БАЗИС»

Axial algebras of Jordan type η are a special type of commutative nonassociative algebras. They are generated by idempotents whose adjoint operators have the minimal polynomial dividing (x − 1)x(x − η), where η is a fixed value that is not equal to 0 or 1. These algebras have restrictive multiplication rules that generalize the Peirce decomposition for idempotents in Jordan algebras. A universal 3-generated algebra of Jordan type 1 2 as an algebra with 4 parameters was constructed by I. Gorshkov and A. Staroletov. Depending on the value of the parameter, the universal algebra may contain a non-trivial form radical. In this paper, we describe all semisimple 3-generated algebras of Jordan type 1 2 over a quadratically closed field.

Bildanov R. , Gorshkov I.
On 3-generated axial algebras of Jordan type 1/2
Communications in Mathematics. 2025. V.33. N3. 4 :1-12. DOI: 10.46298/cm.13307 Scopus РИНЦ OpenAlex

Поступила в редакцию:	28 мар. 2024 г.
Принята к публикации:	7 июн. 2024 г.
Опубликована в печати:	1 нояб. 2024 г.
Опубликована online:	1 нояб. 2024 г.

Scopus:	2-s2.0-85203432398
РИНЦ:	74616670
OpenAlex:	W4403199041

БД	Цитирований
Scopus	1