DOI QR코드

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IDEALIZATION OF EM-HERMITE RINGS

  • Abdelkarim, Hiba (The University of Jordan School of Science Mathematics Department) ;
  • Abuosba, Emad (The University of Jordan School of Science Mathematics Department) ;
  • Ghanem, Manal (The University of Jordan School of Science Mathematics Department)
  • 투고 : 2018.11.17
  • 심사 : 2019.03.13
  • 발행 : 2020.01.31

초록

A commutative ring R with unityis called EM-Hermite if for each a, b ∈ R there exist c, d, f ∈ R such that a = cd, b = cf and the ideal (d, f) is regular in R. We showed in this article that R is a PP-ring if and only if the idealization R(+)R is an EM-Hermite ring if and only if R[x]/(xn+1) is an EM-Hermite ring for each n ∈ ℕ. We generalize some results, and answer some questions in the literature.

키워드

참고문헌

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