ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY

Wu Wenjun

系统科学与复杂性(英文) ›› 1991, Vol. 4 ›› Issue (3) : 193-207.

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系统科学与复杂性(英文) ›› 1991, Vol. 4 ›› Issue (3) : 193-207.
论文

ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY

    Wu Wenjun
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ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY

    Wu Wenjun
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摘要

As a consequence of a previons study of algebraic differential geometry(see [WU1]) there may be associated to certain special kinds of differential ideals some well-behaved basis enjoying some well-behaved properties. If the differential ideals are further specialized so that they correspond to ordinary polynomial ideals then such a well-behaved basis will become the usual Groebner basis of the polynomial ideals while the latter is not known for differential ideals.

Abstract

As a consequence of a previons study of algebraic differential geometry(see [WU1]) there may be associated to certain special kinds of differential ideals some well-behaved basis enjoying some well-behaved properties. If the differential ideals are further specialized so that they correspond to ordinary polynomial ideals then such a well-behaved basis will become the usual Groebner basis of the polynomial ideals while the latter is not known for differential ideals.

关键词

Polynomial ideal / differential ideal / well

Key words

Polynomial ideal / differential ideal / well-behaved basis / Groebner basis

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Wu Wenjun. ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY. 系统科学与复杂性(英文), 1991, 4(3): 193-207
Wu Wenjun. ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY. Journal of Systems Science and Complexity, 1991, 4(3): 193-207
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