Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON DOMINATION IN ZERO-DIVISOR GRAPHS OF RINGS WITH INVOLUTION

  • Nazim, Mohd (Department of Mathematics Aligarh Muslim University) ;
  • Nisar, Junaid (Department of Mathematics Aligarh Muslim University) ;
  • Rehman, Nadeem ur (Department of Mathematics Aligarh Muslim University)
  • Received : 2020.11.18
  • Accepted : 2021.04.06
  • Published : 2021.11.30
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Abstract

In this paper, we study domination in the zero-divisor graph of a *-ring. We first determine the domination number, the total domination number, and the connected domination number for the zero-divisor graph of the product of two *-rings with componentwise involution. Then, we study domination in the zero-divisor graph of a Rickart *-ring and relate it with the clique of the zero-divisor graph of a Rickart *-ring.

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References

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