Free Ω-Rota–Baxter algebras and Gröbner–Shirshov bases-Reference-Cited by-同舟云学术

Free Ω-Rota–Baxter algebras and Gröbner–Shirshov bases

Published:2020-07-30 Issue:07 Volume:30 Page:1359-1373
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Chen Dan¹,Luo Yan-Feng¹,Zhang Yi¹²,Zhang Yuan-Yuan¹

Affiliation:

1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China

2. School of Mathematics and Statistics, NUIST, Nanjing, Jiangsu 210044, P. R.China

Abstract

Motivated by the formula of partial integration, we introduce the concept of [Formula: see text]-Rota–Baxter algebras, which generalizes the Rota–Baxter algebras introduced by Baxter. We then construct free objects in the category of [Formula: see text]-Rota–Baxter algebras, via a method of Gröbner–Shirshov bases.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196720500447

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