On two extensions of the classical zero-divisor graph

On two extensions of the classical zero-divisor graph

The extended zero-divisor graph and the annihilator graph of a ring are two extensions of the classical zero-divisor graph. In this paper, we investigate the relation between these graphs. Relation between these graphs on some particular ring constructions is also given.

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Veröffentlicht in:São Paulo Journal of Mathematical Sciences 2020-06, Vol.14 (1), p.341-350
Hauptverfasser: Bataineh, Malik, Bennis, Driss, Mikram, Jilali, Taraza, Fouad
Format: Artikel
Sprache:eng
Schlagworte:
Graphs
Mathematics
Mathematics and Statistics
Original Article
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Beschreibung
Zusammenfassung:The extended zero-divisor graph and the annihilator graph of a ring are two extensions of the classical zero-divisor graph. In this paper, we investigate the relation between these graphs. Relation between these graphs on some particular ring constructions is also given.
ISSN:1982-6907
2316-9028
2306-9028
DOI:10.1007/s40863-019-00155-2