Ans 1:

a) HomomorphismA homomorphism is a map that preserves selected structure between two algebraic structures, with the structure to be preserved being given by the naming of the homomorphism.Let (S,) and (T,) be algebraic structures. Let :(S,)(T,) be a mapping from (S,) to (T,). Let have the morphism property under , that is: x,yS: (xy) = (x) (y)Then is a homomorphism.

b) Isomorphism

A group homomorphism is an isomorphism if it is a bijective map.

c) Monomorphismd) Epimorphisme) Endomorphismf) Automorphism