The Zero-divisor Graphs of Abelian Regular Rings
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.
引用本文（GB/T 7714）
卢丹诚, 余文廷. The Zero-divisor Graphs of Abelian Regular Rings[J]. 东北数学：英文版, 2004.
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