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四元数群的Grbner-Shirshov基及其正规型

Grbner-Shirshov Bases and the Normal Form of the Quaternion Group
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摘要 本文介绍了结合代数上的Grbner-Shirshov基理论,并找到了四元数群的一个Grbner-Shirshov基,从而得到四元数群的一组正规型. In this paper, we introduce Grobner-Shirshov basis theory for associative algebras and obtain a Grobner-Shirshov basis and a normal form of the Quaternion Group.
出处 《惠州学院学报》 2017年第6期27-32,共6页 Journal of Huizhou University
基金 国家自然科学基金项目(11401246)
关键词 Grobner-Shirshov基 四元数群 正规型 Grobner-Shirshov basis Quaternion Group Normal form
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