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Ass(M/N) and Ann(M/N) on the Noetherian Module M
引用本文:黄天民,田维胜.Ass(M/N) and Ann(M/N) on the Noetherian Module M[J].数学季刊,1993,8(4):83-88.
作者姓名:黄天民  田维胜
作者单位:[1]Dept.ofAppl.Math.South-WesternJiaotongUniversity [2]HenanUniversity,475001
摘    要:Let R is a noetherian ring,M is a finitely generated R-module.This paper studies the relationbetween associated prime Ass(M/N)and annihilator Ann(M/N),and has given the necessary andsufficient conditions of Ass(M/N)=Ann(M/N).

关 键 词:Noether模  Noether环  相伴素数  零化子  准素分解  准素子模  有限主成环模

Ass(M/N)and Ann(M/N)on the Noetherian Module M
Huang Tianmin.Ass(M/N)and Ann(M/N)on the Noetherian Module M[J].Chinese Quarterly Journal of Mathematics,1993,8(4):83-88.
Authors:Huang Tianmin
Abstract:Let R is a noetherian ring,M is a finitely generated R-module.This paper studies the relation between associated prime Ass(M/N) and annihilator Ann(M/N),and has given the neccssary and sufficient conditions of Ass(M/N)=Ann(M/N).
Keywords:associated prime ideal  annilhilator  primary decomposition  primary submodule
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