Annihilator graphs of a commutative semigroup whose Zero-divisor graphs are a complete graph with an end vertex
y | 12 ago 2022
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Publicado en línea: 12 ago 2022
Páginas: 119 - 136
Recibido: 06 jun 2022
Aceptado: 12 jul 2022
DOI: https://doi.org/10.2478/ausi-2022-0008
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© 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.