IDEALS

作品数:134被引量:61H指数:4
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A Grobner Basis Algorithm for Ideals over Zero-Dimensional Valuation Rings
《Journal of Systems Science & Complexity》2021年第6期2470-2483,共14页LI Dongmei LIU Jinwang 
supported by the National Natural Science Foundation of China under Grant Nos.11871207and 11971161。
Zero-dimensional valuation rings are one kind of non-Noetherian rings.This paper investigates properties of zero-dimensional valuation rings and prove that a finitely generated ideal over such a ring has a Grobner bas...
关键词:Non-Noetherian ring Grobner basis Gr?bner ring conjecture valuation ring 
On Computing Uniform Gr?bner Bases for Ideals Generated by Polynimials with Parametric Exponents
《Journal of Systems Science & Complexity》2016年第3期850-864,共15页LIU Lanlan ZHOU Meng 
supported by the National Natural Science Foundation of China under Grant No.11271040;Science and Technology Foundation of Gui Zhou Province LKM[2013]16
Pan and Wang presented a method for computing uniform GrSbner bases for certain ide- als generated by polynomials with parametric exponents in 2006, and two criteria were proposed to determine if a uniform GrSbner bas...
关键词:Parametric exponent polynomial ideal reduced term order uniform GrSbner basis. 
ON FUZZY h-IDEALS OF HEMIRINGS被引量:2
《Journal of Systems Science & Complexity》2007年第3期470-478,共9页Xueling MA and Jianming ZHAN 
Supported by the National Natural Science Foundation of China under Grant No.60474022;the Key Science Foundation of Education Committee of Hubei Province,China under Grant No.D200729003
The concept of quasi-coincidence of a fuzzy interval value in an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the quasi-coincidence of a fuzzy point in a fuzzy set. By usi...
关键词:Hemirings h-ideals interval valued (∈  Vq)-fuzzy h-ideals interval valued fuzzy h-ideals with thresholds. 
A METHOD FOR MECHANICAL GEOMETRY THEOREM PROVING被引量:1
《Systems Science and Mathematical Sciences》1996年第4期313-318,共6页WU Jinzhao(Institute of Systems Science, Academia Sinica, Beijing 100080, China)TAN Hongyan(Dopartment of Computer Science, Lanzhou University, Lanzhou 730000, China) 
AMETHODFORMECHANICALGEOMETRYTHEOREMPROVING¥WUJinzhao(InstituteofSystemsScience,AcademiaSinica,Beijing100080,...
关键词:Wu-Ritt well ORDERING algorithm PRIME IDEALS IRREDUCIBLE characteristic SETS 
ON THE ALGEBRAIC VARIETY DECOMPOSITION
《Systems Science and Mathematical Sciences》1996年第2期120-127,共8页WU Jinzhao (Institute of Systems Science, Academia Sinica, Beijing 100080, China) 
ONTHEALGEBRAICVARIETYDECOMPOSITIONWUJinzhao(InstituteofSystemsScience,AcademiaSinica,Beijing100080,China)ONT...
关键词:POLYNOMIALS ALGEBRAIC VARIETIES ascending CHAINS prime IDEALS 
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