有限域上理想的准素分解(英文)  

Primary Decomposition of Ideals over Finite Fields

作　　者：李冬梅[1] 

机构地区：[1]湖南科技大学数学与计算科学学院

出　　处：《数学理论与应用》2009年第1期6-9,共4页Mathematical Theory and Applications

基　　金：supported by Graduate Innovation Fund of Hunan University of Science and Technology andthe National Natural Science Foundation of China (10771058);Hunan Provincial Natural Science Foundation of China(06jj2053);Scientific Research Fund ofHunan Province Education Department(06A017)

摘　　要：主要研究有限域上零维理想的准素分解问题,对文[1]的所提到的方法和理想商环不变子空间的基元素的可分性进行讨论,并给出了判定的充分必要条件。This paper mainly studies the problem of primary decomposition of zero- dimensional ideals over finite fields.For the method which is given in [1],we do some work in an element of the invariant subspace of the quotient algebra, and give a necessary and sufficient condition to judge whether the dement is separable or not.

关 键 词：准素分解 零维理想 Crobner基 可分性 

分 类 号：O153.3[理学—数学]