Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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MAXIMAL CHAIN OF IDEALS AND n-MAXIMAL IDEAL

  • Hemin A. Ahmad (Department of Mathematics College of Education Salahaddin University-Erbil) ;
  • Parween A. Hummadi (Department of Mathematics College of Education Salahaddin University-Erbil)
  • Received : 2022.04.09
  • Accepted : 2022.05.25
  • Published : 2023.04.30
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Abstract

In this paper, the concept of a maximal chain of ideals is introduced. Some properties of such chains are studied. We introduce some other concepts related to a maximal chain of ideals such as the n-maximal ideal, the maximal dimension of a ring S (M. dim(S)), the maximal depth of an ideal K of S (M.d(K)) and maximal height of an ideal K(M.d(K)).

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References

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