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We consider algebras of type τ- without nullary operations. An identity ψ≈ψ of type τ is clone compatible if ψ and ψ are the same variable or the sets of fundamental operation symbols in ψ and ψ are non-empty and identical. For a variety V, we denote by Vc the variety defined by all clone compatible identities from Id(V). In this paper, we give a construction of algebras called a clone network. Under some assumptions, we describe algebras from Vc by means of this construction. We find some properties of Vc and applications.