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SOME STUDIES ON GRBNER BASES FOR MODULES AND APPLICATIONS
引用本文:WANG Mingsheng(State Key Lab of Information Security. Institute of Software,Chinese Academy of Sciences,Beijing 100080,China)LIU Zhuojun(Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080. China). SOME STUDIES ON GRBNER BASES FOR MODULES AND APPLICATIONS[J]. 系统科学与复杂性, 2002, 0(4)
作者姓名:WANG Mingsheng(State Key Lab of Information Security. Institute of Software  Chinese Academy of Sciences  Beijing 100080  China)LIU Zhuojun(Institute of Systems Science  Academy of Mathematics and Systems Science  Chinese Academy of Sciences  Beijing 100080. China)
作者单位:WANG Mingsheng(State Key Lab of Information Security. Institute of Software,Chinese Academy of Sciences,Beijing 100080,China)LIU Zhuojun(Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080. China)
基金项目:This research is supported by 973 Project(1998030600).
摘    要:Hong's theorem for Grobner bases under polynomial composition is generalized to module case with more general cosideration. Similar generalization is also considered when the coefficient field is replaced by a Dedekind domain.


SOME STUDIES ON GROBNER BASES FOR MODULES AND APPLICATIONS
WANG Mingsheng. SOME STUDIES ON GROBNER BASES FOR MODULES AND APPLICATIONS[J]. Journal of Systems Science and Complexity, 2002, 0(4)
Authors:WANG Mingsheng
Abstract:Hong's theorem for Grobner bases under polynomial composition is generalized to module case with more general cosideration. Similar generalization is also considered when the coefficient field is replaced by a Dedekind domain.
Keywords:Composition   Grobner basis for module   universal Grobner basis.
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