吉林大学学报(理学版)
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张万儒
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ZHANG Wanru
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摘要：
考虑环R上三阶矩阵环M3(R)的一类特殊子环S3(R), 证明了如果R是reduced环, α,β是R的相容自同态, 则S3(R)是半交换Armendariz环, 并给出了Armendariz环和半交换环的例子.
关键词: Armendariz环, 半交换环, reduced环, 相容自同态
Abstract:
We considered a special subring S3(R) of 3×3 matrix ring M3(R) over a ring R. It is shown that S3(R) is an Armendariz and semicommutative ring if R is a reduced ring with compatible endomorphisms α,β. Our results yield more examples of Armendariz rings and semicommutative rings.
Key words: Armendariz ring, semicommutative ring, reduced ring, compatible endomorphism
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张万儒. 一类三阶矩阵环的Armendariz和半交换子环[J]. 吉林大学学报(理学版), 2015, 53(01): 45-48.
ZHANG Wanru. A Class of Armendariz and SemicommutativeSubrings of 3×3 Matrix Rings[J]. Journal of Jilin University Science Edition, 2015, 53(01): 45-48.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2015/V53/I01/45
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