By means of Gauss Lemma and formal matrix, it is proved that quotient rings of a unique factorization domain (UFD) with respect to its principal ideals are Armendariz rings, and we present a condition for R[x]/(x 2-1) to be an Armendariz ring.

 
  • 應用Gauss引理及形式矩陣;證明了惟一分解整環(huán)(UFD)關(guān)于主理想的商環(huán)是Armendariz環(huán);給出了R[x]/(x2-1)為Armendariz環(huán)的條件.
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