位置：成果数据库 > 期刊 > 期刊详情页
Grobner基的一个应用
  • ISSN号：1008-1399
  • 期刊名称：《高等数学研究》
  • 时间：0
  • 分类：O151.21[理学—数学;理学—基础数学]
  • 作者机构：中国矿业大学理学院,江苏徐州221116
  • 相关基金：国家自然科学基金（41574176,11271275）
作者： 王羡[1], 马文超[1], 周建洋[1]
关键词： 配置矩阵, Toric理想, Grbner基, configuration matrix, toric ideal, grbner basis
中文摘要：

给出Toric环、Toric理想的概念,利用已知的Grbner基求配置矩阵A的Toric理想I_A的Grbner基.特别对一类无法用计算机计算其Grbner基的理想I_（A_d）,给出了它的Grbner基的具体形式并通过实例验证其结论.

英文摘要：

In this paper,we present the definitions of toric ring and toric ideal.By using the well-known Grbner basis,the Grbner basis of toric ideal I_a for configuration matrix A is given.Especially,a class of ideal I_（Ad） for Grbner basis can not be calculated by virtue of a computer,we present its Grbner basis＇ s precise form.Forthermore,through concrete examples,we verify the conclusions.

同期刊论文项目
有几何背景的交换分次环的研究
期刊论文 5
典型群上自同构问题的推广
期刊论文 43
同项目期刊论文
TRIPLE AUTOMORPHISMS OF SIMPLE LIE ALGEBRAS
Bijective maps on standard Borel subgroup of symplectic group preserving commutators
Maximal subalgebras of the general linear Lie algebra containing Cartan subalgebras
Maps determined by action on identity-product elements
Nonlinear maps satisfying derivability on standard parabolic subalgebras of finite-dimensional simpl
Biderivations of the Parabolic Subalgebras of Simple Lie Algebras
INVERTIBLE LINEAR MAPS ON SIMPLE LIE ALGEBRAS PRESERVING COMMUTATIVITY
The positive and negative inertia of line graphs of trees
The group of commutativity preserving maps on strictly upper triangular matrices
On a solution of a quaternion matrix equation AX-XB=C and its applications
A charcterization of long graphs of arbitrary rank
Nonlinear Maps Satisfying Derivability of a Class of Matrix Ring over Commutative Rings
INVERTIBLE LINEAR MAPS ON SIMPLE LIE ALGEBRAS PRESERVING SOLVABILITY
Solvable Lie Algebras with Nilradicals of Orthogonal Types
Norm correspondence on p-adic classical groups
Norm correpondence of p-adic classical groups
The group of commutativety preserving maps on upper triangular matrix algebras over a commutative ri
Nonlinear maps satisfying derivability on the parabolic subalgebras of the general linear Lie algebr
Linear maps on matrix algebra Jordan derivable at involutory matrices
The signature of k-cyclic graphs of ∞-type
Solvable extensions of a class of nilpotent linear Lie algebras
New method for general Kennaugh’s pseudo- eigenvalue equation in radar polarimetry
Nonlinear mappings on upper triangular matrices derivable at zero point
The nullity of k-cyclic graphs of∞-type
Nonlinear bijective maps on strictly upper triangular matricespreserving zero product
The group of commutativity preserving maps on upper triangular matrices over a commutative ring
Biderivations And Linear Commuting Maps on the Schrodinger-Virasoro Lie Algebra
Canonical algebras of type (n1, n2, n3) and Kac-Moody algebras
Generalized derivations on parabolic subalgebras of general linear algebras
A realization of elliptic Lie algebras of type F_4^{(2,2)} by the Ringel-Hall approach
Bounds for the matching number, the edge chromatic number and the independence number of a graph in
Invertible linear maps on Borel subalgebras preserving zero Lie products
Automorphism group of an ideal-relation graph over a matrix ring
The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices
Maps Determined by Action on Square-Zero Elements
The group of automorphisms of a zero-divisor graph based on rank one upper triangular matrices
Proof for four conjectures about the distance Laplacian and distance signless Laplacian eigenvalues
单位积决定的若当矩阵代数（英文）
无限可数个变元多项式环上的动态Grobner基
谈抽象代数教学改革
p-adic典型群上轨道积分的若干性质
无限可数个变元多项式环上的动态Grobner基
谈抽象代数教学改革
Commutative L＊-Rings
Vanishing Properties of Dual Bass Numbers
期刊信息
  • 《高等数学研究》
  • 主管单位:陕西省科学技术协会
  • 主办单位:西北工业大学 陕西省数学会
  • 主编：
  • 地址：西安市友谊西路127号西北工业大学
  • 邮编：710072
  • 邮箱：gdsxyj@126.com
  • 电话：029-88491574
  • 国际标准刊号：ISSN：1008-1399
  • 国内统一刊号：ISSN：61-1315/O1
  • 邮发代号:52-192
  • 获奖情况:
  • 1997年获陕西省教学成果一等奖,2000年获陕西省优秀期刊一等奖
  • 国内外数据库收录:
  • 被引量:4507