Some new results on Gr\"obner-Shirshov bases
L. A. Bokut, Yuqun Chen, K. P. Shum
TL;DR
This survey reviews recent advances in Gr"obner-Shirshov bases, highlighting new Composition-Diamond lemmas and their applications to deepen understanding and expand the utility of these algebraic tools.
Contribution
The paper introduces new Composition-Diamond lemmas and explores their applications, advancing the theoretical framework of Gr"obner-Shirshov bases.
Findings
New Composition-Diamond lemmas established
Applications of known lemmas demonstrated
Enhanced understanding of Gr"obner-Shirshov bases
Abstract
In this survey article, we report some new results of Gr\"obner-Shirshov bases, including new Composition-Diamond lemmas and some applications of some known Composition-Diamond lemmas.
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