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Abstract

Let (X, +) be a group, and (S, +) a subsemigroup (i.e., a semigroup such that SG and the operation + is the same as in X; cf. 4.5). Let (Y, +) ba another group, and let g : SY be a homomorphism1. The problem with which we shall deal in 18.1–18.4 is the following. Does there exist a homomorphism f : XY such that f Ç S = g? The main result in this section (cf. Dhombres-Ger [70], Balcerzyk [18]) reads as follows.

Keywords

Commutative Group Convex Function Normal Subgroup Arbitrary Function Additive Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2009

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