Free special Gelfand—Dorfman algebra

Free special Gelfand—Dorfman algebra Full article

Journal

Journal of Algebra and its Applications
ISSN: 0219-4988

Output data

Year: 2024, Volume: 23, Number: 14, Article number : 2550005, Pages count : 11 DOI: 10.1142/S0219498825500057

Tags

Differential algebra, Poisson algebra identity, Gelfand–Dorfman algebra

Authors

Gubarev V. ^1,2 , Sartayev B.K. ^1,3

Affiliations

1	Sobolev Institute of Mathematics, Academician Koptyug ave. 4, Novosibirsk 630090, Russia
2	Novosibirsk State University, Pirogova Str. 2, Novosibirsk 630090, Russia
3	Department of Mathematics, Suleyman Demirel University, Abylaikhan Street, 1/1, Kaskelen 040900, Kazakhstan

Funding (1)

Президент РФ

075-15-2021-129, MK-1241.2021.1.1

A Gelfand–Dorfman algebra is called special if it can be embedded into a differential Poisson algebra. We find a new basis of the free Novikov algebra. With its help, we construct the monomial basis of the free special Gelfand–Dorfman algebra.

Gubarev V. , Sartayev B.K.
Free special Gelfand—Dorfman algebra
Journal of Algebra and its Applications. 2024. V.23. N14. 2550005 :1-11. DOI: 10.1142/S0219498825500057 WOS Scopus РИНЦ OpenAlex

Submitted:	Aug 8, 2022
Accepted:	Jun 19, 2023
Published online:	Aug 5, 2023
Published print:	Apr 2, 2024

Web of science:	WOS:001043960600001
Scopus:	2-s2.0-85168985401
Elibrary:	62334730
OpenAlex:	W4383956543

DB	Citing
Web of science	1
OpenAlex	3
Scopus	3