Abelian正则环的零因子图

• 作 者: 卢丹诚 佟文廷
• 机 构: Department of Mathematics, Suzhou University, Suzhou, 215006Department of Mathematics, Nanjing Unive
• 出 处: 东北数学（英文版）
• 发表日期: 2004年3期
• 关键词: zero-divisor graph abelian regular ring Grothendieck group

We introduce the zero-divisor graph for an abelian regular ring and show that if R, S are abelian regular, then (Ko(R), [R]) ≌ (Ko(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.