Co-intersection graph of subacts of an act

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 \(B_۱\) and \( B_۲\) are adjacent if \(B_۱ \cup B_۲\neq A\).  We investigate the relationship between the algebraic properties of an  \(S\)-act \(A\) and the properties of the graph G(A).

کلیدواژه ها:

S -act ، co-intersection graph ، subact