Free special Gelfand-Dorfman algebra
Gubarev V. Sartayev B.K.
2023World Scientific
Journal of Algebra and its Applications
2023
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.
Differential algebra , Gelfand-Dorfman algebra , identity , Poisson algebra
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Sobolev Institute of Mathematics, Academician Koptyug ave. 4, Novosibirsk, 630090, Russian Federation
Novosibirsk State University, Pirogova str. 2, Novosibirsk, 630090, Russian Federation
Department of Mathematics, Suleyman Demirel University, Abylaikhan Street, 1/1, Kaskelen, 040900, Kazakhstan
Sobolev Institute of Mathematics
Novosibirsk State University
Department of Mathematics
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