作者:Huishi Li (Department of Applied MathematicsCollege of Information Science and Technology Hainan University,Haikou 570228,China)
出处:代数集刊(英文版) 2015
关键词:K-代数;Grobner基;单项式序;非齐次;S代数;REE;半素;理想
摘要:Let K〈X〉 = K(X1,..., Xn) be the free K-algebra on X = {X1,..., Xn} over a field K, which is equipped with a weight N-gradation (i.e., each Xi is assig ...
作者:Huishi Li (Department of Applied Mathematics College of Information Science and Technology Hainan University, Haikou 570228, China)
出处:代数集刊(英文版) 2009
关键词:global;dimension;growth;of;algebra;Gr(o)bner;basis;n-chain
作者:Huishi Li (Department of Applied Mathematics College of Information Science and Technology Hainan University, Haikou 570228, China)
出处:代数集刊(英文版) 2007
关键词:PBW;property;graded;algebra;Gr(o)bner;basis
摘要:For ungraded quotients of an arbitrary Z-graded ring, we define the general PBW property, that covers the classical PBW property and the N-type PBW pr ...
作者:李会师 (海南大学信息学院应用数学系 海口 570228)
出处:高等数学研究 2006
关键词:极限;无穷小量;连续性;导数;微分
摘要:基于无穷小量是极限为零的函数这一事实,视△y=f(t)-f(x)和△x=t-x为在点x的任一邻域上有定义的改变量函数,可准确地诠释导数f\'(x)作为二函数之商的极限的本性,进而自然地揭示微分df(x)=f\'(x)dx作为一个普通函数的实质.