Geodesic
Characterizations of zero-divisor graphs of certain rings
Filomat, Tome 37 (2023) no. 24, p. 8229

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DOI

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.
DOI : 10.2298/FIL2324229Z
Classification : 05C25, 16E50
Keywords: zero-divisor graph, polar ring, tournament, quasinormal ring 
Ruju Zhao; Junchao Wei. Characterizations of zero-divisor graphs of certain rings. Filomat, Tome 37 (2023) no. 24, p. 8229 . doi: 10.2298/FIL2324229Z
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     author = {Ruju Zhao and Junchao Wei},
     title = {Characterizations of zero-divisor graphs of certain rings},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
     number = {24},
     doi = {10.2298/FIL2324229Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324229Z/}
}
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