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This paper studies the following relations on a semigroup of functions : the relation of inclusion of functions (i.e. if the function is an extension of the function ), and the relations and of inclusion of the first and second projections, respectively (i.e. inclusions of the domains of definition or the ranges of values of the functions).Necessary and sufficient conditions are found for an algebraic system to be isomorphic to a semigroup of single-valued functions taken together with the relations , and .Bibliography: 23 items. |