| dc.creator |
Sartayev, B. K. |
|
| dc.creator |
Kolesnikov, P. S. |
|
| dc.date |
2024-01-01T00:00:00Z |
|
| dc.identifier |
96baae44-9979-4cbb-a0d3-dd49fb349ce9 |
|
| dc.identifier |
10.1080/10586458.2022.2041134 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/96baae44-9979-4cbb-a0d3-dd49fb349ce9/oai |
|
| dc.description |
A Gelfand-Dorfman algebra (GD-algebra) is said to be special if it can be embedded into a differential Poisson algebra. In this paper, we prove that the class of all special GD-algebras is closed with respect to homomorphisms and thus forms a variety. We describe a technique for finding potentially all special identities of GD-algebras and derive two known special identities of degree 4 in this way. By computing the Grobner basis for the corresponding shuffle operad, we show that these two identities imply all special ones up to degree 5. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
On the Special Identities of Gelfand-Dorfman Algebras |
|
| dc.type |
info:eu-repo/semantics/article |
|