Characterizations of zero-divisor graphs of certain rings
FILOMAT(2023)
Abstract
The aim of this paper is to study zero-divisor graphs of some polarity rings, and certain special rings whose zero-divisor graphs are of tournament. Especially, zero-divisor graphs of polar rings, J-polar rings and nil-polar rings are connected. In addition, a ring whose zero-divisor graph is a tournament, must be quasinormal, but the converse is not true.
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Key words
zero-divisor graph,polar ring,tournament,quasinormal ring
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