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http://dx.doi.org/10.4134/CKMS.c180477

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)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.1, 2020 , pp. 13-20 More about this Journal
Abstract
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.
Keywords
EM-Hermite ring; PP-ring; idealization;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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