The Decision of Prime and Primary Ideal  

作　　者：Jin-wang LIU Dong-mei LI 

机构地区：[1]School of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China [2]School of Mathematical Science and Computing Technology, Central South University, Changsha 410083, China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第4期595-600,共6页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 11071062);Hunan provincial Natural Science Foundation of China (No. 10JJ3065);Scientific Research Fund of Hunan province education Department (No. 10A033);Hunan Provincial Degree and Education of Graduate Student Foundation (No. JG2009A017)

摘　　要：We give more efficient criteria to characterise prime ideal or primary ideal. Further, we obtain the necessary and sufficient conditions that an ideal is prime or primary in real field from the Grobner bases directly.We give more efficient criteria to characterise prime ideal or primary ideal. Further, we obtain the necessary and sufficient conditions that an ideal is prime or primary in real field from the Grobner bases directly.

关 键 词：Grobner basis prime ideal orimarv ideal 

分 类 号：O153.3[理学—数学] G62[理学—基础数学]