The zero annihilator of a semiring S, denote by ZA(S), is the graph whose vertex set is the set of all nonzero non-unit element of S. In commutative semiring S, two distinct vertices x and y are adjacent whenever Ann_S(x) ∩ Ann_S(y) = {0}, where Ann_S(x) = {s ∈ S|sx = 0}. Similarly in non-commutative semiring S, two distinct vertices x and y adjacent whenever r.Ann_S(x)∩r.Ann_S(y) = {0}, or l.Ann_S(x)∩l.Ann_S(y) = {0} where l.Ann_S(x) = {s ∈ S|sx = 0} and r.Ann_S(x) = {s ∈ S|xs = 0}. Let M_n(R) be a semiring of matrices over Boolean semiring, in this paper we show that ZA(M_n(R)) is a complete graph.
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