数学季刊 ›› 1993, Vol. 8 ›› Issue (4): 83-88.

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Ass(M/N)and Ann(M/N)on the Noetherian Module M

  

  1. Dept. of Appl. Math. South-Western Jiaotong University,Henan University 475001

  • 收稿日期:1993-01-18 出版日期:1993-12-30 发布日期:2025-05-22

Ass(M/N)and Ann(M/N)on the Noetherian Module M

  1. Dept. of Appl. Math. South-Western Jiaotong University,Henan University 475001
  • Received:1993-01-18 Online:1993-12-30 Published:2025-05-22

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: associated prime ideal, annilhilator, primary decomposition, primary submodule

Abstract: 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).

Key words: associated prime ideal, annilhilator, primary decomposition, primary submodule