Almost Primary Ideals

نویسندگان

  • A. Khaksari
  • A. Jafari
چکیده

Let R be a commutative ring with identity. In this paper we define the notion of almost primary ideal. An ideal of a ring R is said to be an almost primary ideal if for a, b ∈ R with ab ∈ I − I2 then a ∈ I or bn ∈ I for some n ∈ N. We prove that in Noetherian domains almost primary ideals are primary. Mathematics Subject Classification: 13A15

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تاریخ انتشار 2013