Homological Characterizations of Rings with Property (P)

نویسندگان

  • Zhaoyong Huang
  • Gaohua Tang
چکیده

A commutative ring R is said to satisfy property (P) if every finitely generated proper ideal of R admits a non-zero annihilator. In this paper we give some necessary and sufficient conditions that a ring satisfies property (P). In particular, we characterize coherent rings, noetherian rings and P-coherent rings with property (P).

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تاریخ انتشار 2003