Free Lie differential Rota-Baxter algebras and Grobner-Shirshov bases

Qiu Jianjun; Chen Yuqun

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Free Lie differential Rota-Baxter algebras and Grobner-Shirshov bases

机译：自由差分差动罗拉 - 巴克斯特代数和Grobner-Shirshov基地

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摘要

We establish the Grobner-Shirshov bases theory for Lie differential Omega-algebras. As an application, we give a linear basis of a free Lie differential Rota-Baxter algebra on a set.

机译：我们建立了Grobner-Shirshov基础理论，用于鉴别omega-代数。作为申请，我们在一套上提供了自由差分旋转喇叭代数的线性基础。

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来源
《International journal of algebra and computation》 |2017年第8期|共20页
作者
Qiu Jianjun; Chen Yuqun;
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作者单位

Lingnan Normal Univ Sch Math &

Stat Zhanjiang 524048 Peoples R China;

South China Normal Univ Sch Math Sci Guangzhou 510631 Guangdong Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Grobner-Shirshov basis; Lyndon-Shirshov word; Lie differential Rota-Baxter algebra;

机译：Grobner-Shirshov基础;Lyndon-Shirshov字;谎言差分Rota-Baxter代数;

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专利

1. Free Lie differential Rota-Baxter algebras and Grobner-Shirshov bases [J] . Qiu Jianjun, Chen Yuqun International journal of algebra and computation . 2017,第8期

机译：自由差分差动罗拉 - 巴克斯特代数和Grobner-Shirshov基地
2. Grobner-Shirshov bases for commutative algebras with multiple operators and free commutative Rota-Baxter algebras [J] . Jianjun Qiu Asian-European journal of mathematics . 2014,第2期

机译：具有多个算子和自由可交换Rota-Baxter代数的可交换代数的Grobner-Shirshov基
3. Grobner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras [J] . Bokut LA, Chen YQ, Qiu JJ Journal of pure and applied algebra . 2010,第1期

机译：具有多个算子和自由Rota-Baxter代数的关联代数的Grobner-Shirshov基
4. Lyndon-Shirshov Words, Grobner-Shirshov Bases, and Free Lie Algebras [C] . L. Bokut, E. S. Chibrikov International Conference on Nonassociative Algebra and its Applications . 2006

机译：Lyndon-Shirshov字，Grobner-Shirshov基地和自由谎言代数
5. On the elementary theories of free nilpotent Lie algebras and free nilpotent groups. [D] . Sohrabi, Mahmood. 2009

机译：关于自由幂零李代数和自由幂零群的基本理论。
6. INVARIANT DIFFERENTIAL OPERATORS ON A SEMISIMPLE LIE ALGEBRA [O] . Harish-Chandra 1956

机译：半简单李代数上的不变微分算子
7. Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras [O] . Yi Zhang, Xing Gao, Li Guo 2020

机译：匹配Rota-Baxter代数，匹配的Dendriform代数和匹配的预谎言代数

Free Lie differential Rota-Baxter algebras and Grobner-Shirshov bases

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