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Mateescu, A., Scattered deletion and commutativity, Theoretical Computer Science 125 (1994) 361-371. This paper deals with the scattered deletion of a language by another language, i.e. with scattered residuals. We introduce the notion of the scattered syntactical monoid. The main result is a Myhill-Nerode-like theorem for languages L with the property that the commutative closure of L,com(L), is a regular language. We investigate some properties of these families of languages related to the cardinality of the scattered syntactical monoid.doi:10.1016/0304-3975(94)90259-3 fatcat:rajlysmdsrgj5ezvvnzybd56i4