无限可数个变元多项式环上的动态Grbner基

J4 ›› 2013, Vol. 48 ›› Issue (6): 38-41.

无限可数个变元多项式环上的动态Grbner基

王羡,周建洋,马文超

中国矿业大学理学院, 江苏徐州 221116

收稿日期:2013-01-28 出版日期:2013-06-20 发布日期:2013-06-09
作者简介:王羡(1961- ),女,副教授,理学博士,研究方向为交换代数(交换环). Email:wx2008117@cumt.edu.cn
基金资助:
国家自然科学基金资助项目(11271275,11171343);中央高校基本科研业务费专项资金项目(LKSX05)

Dynamical Grbner bases for the polynomial ring with countably infinite variables

WANG Xian, ZHOU Jian-yang, MA Wen-chao

School of Sciences, China University of Mining ＆ Technology, Xuzhou 221116, Jiangsu, China

Received:2013-01-28 Online:2013-06-20 Published:2013-06-09

摘要/Abstract

摘要：

将域上无限可数个变元的多项式环的理想的Grbner基理论推广到动态Grbner基上,并讨论了动态既约Grbner基的一个重要性质。

关键词: 动态Grbner基;主理想环;S-多项式;动态既约Grbner基

Abstract:

The theory of Grbner bases for the ideals in a polynomial ring with countably infinite variables over a field is extended to that of dynamical Grbner bases. An important property of the dynamical reduced Grbner bases is discussed.

Key words: dynamical Grbner bases; principal ideal rings; S-polynomials; dynamical reduced Grbner basesGrbner

王羡,周建洋,马文超. 无限可数个变元多项式环上的动态Grbner基[J]. J4, 2013, 48(6): 38-41.

WANG Xian, ZHOU Jian-yang, MA Wen-chao. Dynamical Grbner bases for the polynomial ring with countably infinite variables[J]. J4, 2013, 48(6): 38-41.

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