Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON WEAK ARMENDARIZ IDEALS

  • Hashemi, Ebrahim (DEPARTMENT OF MATHEMATICS SHAHROOD UNICERSITY OF TECHNOLOGY)
  • Published : 2008.07.31
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Abstract

We introduce weak Armendariz ideals which are a generalization of ideals have the weakly insertion of factors property (or simply weakly IFP) and investigate their properties. Moreover, we prove that, if I is a weak Armendariz ideal of R, then I[x] is a weak Armendariz ideal of R[x]. As a consequence, we show that, R is weak Armendariz if and only if R[x] is a weak Armendariz ring. Also we obtain a generalization of [8] and [9].

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References

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Cited by

  1. Polynomial Rings Over Weak Armendariz Rings need not be Weak Armendariz vol.42, pp.6, 2014, https://doi.org/10.1080/00927872.2012.763131