Free special Gelfand–Dorfman algebra-Reference-Cited by-同舟云学术

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Free special Gelfand–Dorfman algebra

Published:2023-08-05 Issue: Volume: Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Gubarev V.¹²,Sartayev B. K.¹³

Affiliation:

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

Abstract

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.

Funder

Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan

President of the Russian Federation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498825500057

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