| McCoy环的扩张(英文) |
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| 引用本文： | 应志领,陈建龙,雷震.McCoy环的扩张(英文)[J].东北数学,2008,24(1). |
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| 作者姓名： | 应志领 陈建龙 雷震 |
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| 作者单位： | Department of Mathematics;Southeast University;Anhui Normal University; |
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| 基金项目： | 国家自然科学基金
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高等学校博士学科点专项科研项目 |
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| 摘 要： | A ring R is said to be right McCoy if the equation f(x)g(x)=0,where f(x)and g(x)are nonzero polynomials of Rx],implies that there exists nonzero s∈R such that f(x)s=0.It is proven that no proper(triangular)matrix ring is one-sided McCoy.It is shown that for many polynomial extensions,a ring R is right McCoy if and only if the polynomial extension over R is right McCoy.
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| 关 键 词： | McCoy环 扩张 抽象代数 环论 |
Extensions of McCoy Rings |
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| YING Zhi-ling CHEN Jian-long LEI Zhen.Extensions of McCoy Rings[J].Northeastern Mathematical Journal,2008,24(1). |
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| Authors: | YING Zhi-ling CHEN Jian-long LEI Zhen |
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| Institution: | [1]Department of Mathematics, Southeast University, Nanjing, 210096 [2]Department of Mathematics, Anhui Normal University, Wuhu, 241000 |
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| Abstract: | A ring R.is said to be right McCoy if the equation f(x)g(x)=0,where f(x)and g(x)are nonzero polynomials of Rx],implies that there exists nonzero s∈R such that f(x)s=0.It is proven that no proper(triangular)matrix ring is one-sided McCoy.It is shown that for many polynomial extensions,a ring R is right Mccoy if and only if the polynomial extension over R is right McCoy. |
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| Keywords: | matrix ring McCoy ring polynomial ring upper triangular matrix ring 扩张 Rings extensions polynomials matrix right equation ring |
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