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Free weighted (modified) differential algebras, free (modified) Rota–Baxter algebras and Gröbner–Shirshov bases.

Authors :
Zhu, Zhicheng
Zhang, Huhu
Gao, Xing
Source :
International Journal of Algebra & Computation. 2023, Vol. 33 Issue 4, p787-817. 31p.
Publication Year :
2023

Abstract

In this paper, we obtain, respectively, some new linear bases of free nonunitary (modified) weighted differential algebras and free nonunitary (modified) Rota–Baxter algebras, in terms of the method of Gröbner–Shirshov bases. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DIFFERENTIAL algebra
*ALGEBRA

Details

Language :
English
ISSN :
02181967
Volume :
33
Issue :
4
Database :
Academic Search Index
Journal :
International Journal of Algebra & Computation
Publication Type :
Academic Journal
Accession number :
164940939
Full Text :
https://doi.org/10.1142/S0218196723500352