Group Theory group morphism Abstract Algebra Theorems Kernel Properties Example
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1. Kernel of monomorphism
2. Examples of kernel of monomorphism
3. Properties of monomorphism
4. Theorems of monomorphism
5. Theorems of kernel
Theorem-- If f is a homomoephism for a group G to G the kernel then K is normal subgroup of G
Theorem--- if f define from a group g to a group G – is a monomorphism if and only if kernel at equal to the identity element e
Theorem--- every homeomorphic image of a abelian group is abelian
Theorem---- every homomoephism of image is cyclic group is cyclic
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