A Note on Zero Divisor Graph Over Rings

نویسندگان

  • V. K. Bhat
  • Ravi Raina
  • Neeraj Nehra
  • Om Prakash
چکیده

In this article we discuss the graphs of the sets of zero-divisors of a ring. Now let R be a ring. Let G be a graph with elements of R as vertices such that two non-zero elements a, b ∈ R are adjacent if ab = ba = 0. We examine such a graph and try to find out when such a graph is planar and when is it complete etc. Mathematics Subject Classification: Primary 16-xx, 05-xx; Secondary 05C50

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تاریخ انتشار 2007