Co-intersection graph of subacts of an act

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Delfan Abdolhossein; Rasouli Hamid; Moradipour Kayvan

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Journal Paper

Paper Information

Journal: Journal of Algebra and Related Topics Year:2022 | Volume:10 | Issue:2 Page(s): 1-12

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Information Journal Paper

Title

Co-intersection graph of subacts of an act

Author(s)

Delfan Abdolhossein | Rasouli Hamid | Moradipour Kayvan | Issue Writer Certificate

Keywords

S -act

co-intersection graph

subact

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 $G(A)$.

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