Annihilator graphs of a commutative semigroup whose Zero-divisor graphs are a complete graph with an end vertex-Reference-Cited by-同舟云学术

Annihilator graphs of a commutative semigroup whose Zero-divisor graphs are a complete graph with an end vertex

Published:2022-08-01 Issue:1 Volume:14 Page:119-136
ISSN:2066-7760
Container-title:Acta Universitatis Sapientiae, Informatica
language:en
Short-container-title:

Author:

Sakhdari Seyed Mohammad¹,Afkhami Mojgan²

Affiliation:

1. Department of Basic Sciences, Sabzevar Branch , Islamic Azad University , Sabzevar , Iran

2. Department of Mathematics , University of Neyshabur , P.O.Box 91136-899 , Neyshabur , Iran

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ausi-2022-0008

Reference10 articles.

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