Annihilator graphs of a commutative semigroup whose Zero-divisor graphs are a complete graph with an end vertex
und | 12. Aug. 2022
Über diesen Artikel
Online veröffentlicht: 12. Aug. 2022
Seitenbereich: 119 - 136
Eingereicht: 06. Juni 2022
Akzeptiert: 12. Juli 2022
DOI: https://doi.org/10.2478/ausi-2022-0008
Schlüsselwörter
© 2022 Seyed Mohammad Sakhdari et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Suppose that the zero-divisor graph of a commutative semi-group S, be a complete graph with an end vertex. In this paper, we determine the structure of the annihilator graph S and we show that if Z(S)= S, then the annihilator graph S is a disconnected graph.