Co-intersection graph of subacts of an act

Document Type : Research Paper

Authors

1 Department of Mathematics, Khorramabad Branch, Islamic Azad University, Iran

2 Department of Mathematics, Science and Research Branch , Islamic Azad University, Tehran, Iran

3 Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran

Abstract

In this paper, we define the co-intersection graph $G(A)$ of an \(S\)-act \(A\) which is a graph whose vertices are non-trivial subacts of \(A\) and two  distinct  vertices \(B_1\) and \( B_2\) are adjacent if \(B_1 \cup B_2\neq A\).  We investigate the relationship between the algebraic properties of an  \(S\)-act \(A\) and the properties of the graph $G(A)$.
 

Keywords

Journal of Algebra and Related Topics
Volume 10, Issue 2
December 2022
Pages 1-12

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