Periodic scale: Difference between revisions

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 === Epimorphism ===
-If there exists a homomorphism h: G → ℤ so that h(s[''i'']) = ''i'', then s is weakly epimorphic with the homomorphism h. If s is monotone and weakly epimorphic, it is epimorphic. An important special case is where G is a JI group and h is a val. Epimorphic scales in this restricted sense were apparently first considered by [[Yves Hellegouarch]]. The name comes from the fact that h is an epimorphism onto ℤ.
+If there exists a linear map h: G → ℤ so that h(s[''i'']) = ''i'', then s is weakly epimorphic with the map h. If s is monotone and weakly epimorphic, it is epimorphic. An important special case is where G is a JI group and h is a val. Epimorphic scales in this restricted sense were first considered by [[Yves Hellegouarch]].{{cn}} The name comes from the fact that h is an {{w|epimorphism}} onto the integers (i.e. the map h is surjective).
 === Myhill's property ===