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In this paper we construct an unfolding for $c-$vectors of acyclic sign-skewsymmetric matrices and we also prove that the sign-coherence property holds foracyclic sign-skew-symmetric matrices. Then we prove that every acyclicsign-skew-symmetric matrix admits a maximal green sequence.

Sign-coherence of c-vectors and maximal green sequences for acyclic sign-skew-symmetric matrices