The Decision of Prime and Primary Ideal

The Decision of Prime and Primary Ideal

导出

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.

作者 Jin-wang LIU Dong-mei LI

机构地区 School of Mathematics and Computing Sciences School of Mathematical Science and Computing Technology

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 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)

关键词 Grobner basis prime ideal orimarv ideal Grobner basis, prime ideal, orimarv ideal

分类号 O153.3 [理学—基础数学] G62 [文化科学—教育学]

引文网络
相关文献

参考文献15

1Adams, W., Loustaunau, P. An Introduction to Grobner Bases, Graduate Studies in Mathematics 3. Amer. Math. Soc., Providence, 1994.
2Becker, T., Weispfenning, V. Grobner Bases-A Computational Approach to Commutative Algebra. Springer- Verlag, GTM 141, New York, 1993.
3Buchberger, B. An algorithm for finding a basis for the residue class ring of a zero dimensiomal polynomial. PhD thesis, Universitat Innsbruck, Institut fiir Mathematik, 1965.
4Buchberger, B, Grobner bases: An algorithmic method in polynomial ideal theory. In: Recent Trends in Multidimensional Systems Theory, N.K. Bose (Ed), D. Reidel, Dordrecht, 1985, Chapter 6.
5Eisenbud, D. Direct method for primary decomposition. Invent Mth., 110:207-235 (1992).
6Gao, S.,Wan D., Wang, M. Primary decomposition of zero-dimensional ideals over finite fields. Math. Comp., 78:509-521 (2009).
7Gianni, P. Grobner bases and primary decomposition of polynomial ideals. J. Symb. Comp., 6(2): 149-167 (1988).
8Grabe, H.G. Minimal primary decomposition and factorized GrSbner bases. Appl. Algebra Engrg. Comm. Comput., 8:265-278 (1997).
9Greeuel, G.-M., Pfister, G. A Singular Introduction to Commutative Algebra. Spinger-Verlag, New York, 2002.
10Liu J.W., Wang, M.S. The term orderings which are compatible with comosition Ⅱ. J. Smb. Comput, 35: 153-168 (2003).

1杨碧宇,陈建军.基于PRIME平台的古诗教学[J].教学月刊（小学版）（语文）,2005(9):34-35.
2陈小松,陈入云.准素理想的商运算及其代数簇的性质[J].昆明理工大学学报（理工版）,2004,29(5):149-151.
3吕致远.v0=√gR时质点如何运动[J].中学物理,2002,20(19):53-53.
4王建媛.用微笑浇灌孩子们的自信心[J].考试（教研版）,2009(2):22-22.
5王安军.运用v=√-gR速解圆周运动中的临界问题[J].中学物理,2003,21(10):45-46.
6张丽霞.一道习题的深入探究[J].中学生数学（高中版）,2011(6):8-8.
7文轩.我的西班牙阿婆[J].神州学人,2013(1):45-47.
8叶寿桢,沙万乾.GENERALIZED TRANSFER FUNCTION OF CONTROL SYSTEM AND AN IMPROVEMENT ON THE DECISION METHOD OF MOVEMENT STABILITY[J].Applied Mathematics and Mechanics(English Edition),1989,10(4):361-371.
9何一希.过去分词的两层含义和四项功能[J].新高考（高二语文、数学、英语）,2009(10):49-51.
10程志英.数学课堂小结的必要性及创新[J].小说月刊（下半月）,2015,0(8):9-9.

Acta Mathematicae Applicatae Sinica

2011年第4期

浏览历史

内容加载中请稍等...

The Decision of Prime and Primary Ideal

参考文献15

相关作者

相关机构

相关主题

浏览历史