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GUO Ying, DU Xian-kun, XIE Jing-ran
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Abstract: The present paper deals with whether quotient rings of Armendariz rings are also Armendariz rings. By means of Gauss Lemma and formal m atrix, it is proved that quotient rings of a unique factorization domain (UFD) w ith respect to its princ ipal ideals are Armendariz rings, and we present a condition for R[x]/ (x2-1) to be an Armendariz ring. Some results on Armendariz rings are extende d to skew Armendariz rings. The paper not only generalizes some results in literature but also provides new examples of Armendariz rings.
Key words: Armendariz ring, reduced ring, skew Armendariz ring, u nique factorization domain
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GUO Ying, DU Xian-kun, XIE Jing-ran. Armendariz Rings and Skew Armendariz Rings[J].J4, 2005, 43(03): 253-257.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2005/V43/I03/253
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