Journal of Jilin University Science Edition
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ZHANG Wanru
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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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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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http://xuebao.jlu.edu.cn/lxb/EN/Y2015/V53/I01/45
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