caa a22 4500 445830956 CHVBK 20180317145314.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10255-011-0109-3 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0109-3 The decision of prime and primary ideal [Elektronische Daten] [Jin-wang Liu, Dong-mei Li] 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. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 Gröbner basis nationallicence prime ideal nationallicence primary ideal nationallicence Liu Jin-wang School of Mathematics and Computing Sciences, Hunan University of Science and Technology, 411201, Xiangtan, China aut Li Dong-mei School of Mathematics and Computing Sciences, Hunan University of Science and Technology, 411201, Xiangtan, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/4(2011-10-01), 595-600 0168-9673 27:4<595 2011 27 10255 https://doi.org/10.1007/s10255-011-0109-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0109-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu Jin-wang School of Mathematics and Computing Sciences, Hunan University of Science and Technology, 411201, Xiangtan, China aut NATIONALLICENCE 700 1- Li Dong-mei School of Mathematics and Computing Sciences, Hunan University of Science and Technology, 411201, Xiangtan, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/4(2011-10-01), 595-600 0168-9673 27:4<595 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer