括号代数中的几个新的多项式恒等式
发布时间：2018-10-15 10:55
【摘要】：在本毕业论文我们用代数的Gr(?)bner-Shirshov基理论中的主要工具合成运算来给出括号代数中的九个新的多项式恒等式.我们使用的方法是,对其中的5个恒等式,通过直接计算合成得到,对其他4个关系,先通过计算几个合成得到简单的公式,然后假设一般公式,最后用归纳法加以证明.
[Abstract]:In this thesis, we give nine new polynomial identities in parentheses by using the main tools of the Gr (?) bner-Shirshov basis theory of algebra. The method we use is that the five identities are obtained by direct calculation and synthesis. For the other four relations, a few simple formulas are obtained by calculating a few combinations, then a general formula is assumed, and finally proved by inductive method.
【学位授予单位】：新疆大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O15
本文编号：2272326
[Abstract]:In this thesis, we give nine new polynomial identities in parentheses by using the main tools of the Gr (?) bner-Shirshov basis theory of algebra. The method we use is that the five identities are obtained by direct calculation and synthesis. For the other four relations, a few simple formulas are obtained by calculating a few combinations, then a general formula is assumed, and finally proved by inductive method.
【学位授予单位】：新疆大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O15
【参考文献】
相关期刊论文 前1条
1 吴文俊;A MECHANIZATION METHOD OF GEOMETRY AND ITS APPLICATIONS——Ⅰ. DISTANCES, AREAS, AND VOLUMES IN EUCLIDEAN AND NON-EUCLIDEAN GEOMETRIES[J];Science Bulletin;1987年07期
，本文编号：2272326
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