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The decision of prime and primary ideal

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Abstract

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 Gröbner bases directly.

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Authors and Affiliations

  1. School of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan, 411201, China

    Jin-wang Liu & Dong-mei Li

  2. School of Mathematical Science and Computing Technology, Central South University, Changsha, 410083, China

    Dong-mei Li

Authors
  1. Jin-wang Liu
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  2. Dong-mei Li
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Corresponding author

Correspondence to Jin-wang Liu.

Additional information

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

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Liu, Jw., Li, Dm. The decision of prime and primary ideal. Acta Math. Appl. Sin. Engl. Ser. 27, 595–600 (2011). https://doi.org/10.1007/s10255-011-0109-3

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  • DOI: https://doi.org/10.1007/s10255-011-0109-3

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