Composition-Diamond lemma for $\lambda$-differential associative algebras with multiple operators
Rings and Algebras
2010-05-18 v1
Abstract
In this paper, we establish the Composition-Diamond lemma for -differential associative algebras over a field with multiple operators. As applications, we obtain Gr\"{o}bner-Shirshov bases of free -differential Rota-Baxter algebras. In particular, linear bases of free -differential Rota-Baxter algebras are obtained and consequently, the free -differential Rota-Baxter algebras are constructed by words.
Cite
@article{arxiv.0908.1993,
title = {Composition-Diamond lemma for $\lambda$-differential associative algebras with multiple operators},
author = {Jianjun Qiu and Yuqun Chen},
journal= {arXiv preprint arXiv:0908.1993},
year = {2010}
}