吉林大学学报(理学版)
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郭颖
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GUO Ying
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摘要：
通过引入相对于子环的Armendariz环, 研究这样的最小子环ρ， 并讨论多项式环的相对Armendariz性质. 证明了ρ是理想, 且若ρ是半素的Armendariz环, 则R是Armendariz环.
关键词: Armendariz环, 相对Armendariz环, 简约环
Abstract:
We introduced Armendariz rings relative to a subring and studied such minimum subring ρ and discussed the relative Armendariz properties of polynomial rings. Furthermore, it is shown that ρ is an ideal in a ring R and if ρ is a semiprime Armendariz ring, then R is an Armendariz ring.
Key words: Armendariz ring, relative Armendariz ring, reduced ring
中图分类号:
郭颖. 相对于子环的Armendariz环[J]. 吉林大学学报(理学版), 2015, 53(02): 245-247.
GUO Ying. Armendariz Rings Relative to Subrings[J]. Journal of Jilin University Science Edition, 2015, 53(02): 245-247.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2015/V53/I02/245
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