| Abelian正则环的零因子图 |
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| 引用本文： | 卢丹诚,余文廷.Abelian正则环的零因子图[J].东北数学,2004,20(3):339-348. |
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| 作者姓名： | 卢丹诚 余文廷 |
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| 作者单位： | Department of Mathematics，Suzhou University，Suzhou，215006，Department of Mathematics，Nanjing University，Nanjing，210093 |
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| 基金项目： | Partially supported by the NSF (10071035) of China. |
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| 摘 要： | We introduce the zero-divisor graph for an abelian regular ring and show that if R, S are abelian regular, then (K0(R),R])≌(K0(S),S])if and only if they have isomorphic reduced zero-divisor graphs. It is shown that the maximal right quotient ring of a potent semiprimitive normal ring is abelian regular,moreover,the zero-divisor graph of such a ring is studied.
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| 关 键 词： | 0-约数图 阿贝尔正则环 Grothendieck群 顶集 连通环 |
The Zero-divisor Graphs of Abelian Regular Rings |
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| LU Dan-cheng.The Zero-divisor Graphs of Abelian Regular Rings[J].Northeastern Mathematical Journal,2004,20(3):339-348. |
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| Authors: | LU Dan-cheng |
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| Institution: | [1]DepartmentofMathematics,SuzhouUniversity,Suzhou,215005 [2]DepartmentofMathematics,NanjingUniversity,Nanjing,210093 |
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| Abstract: | |
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| Keywords: | zero-divisor graph abelian regular ring Grothendieck group |
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