homorphism is called isomorphism but why
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Isomorphism (in a narrow/algebraic sense) - a homomorphism which is 1-1 and onto. In other words: a homomorphism which has an inverse. However, homEomorphism is a topological term - it is a continuous function, having a continuous inverse.
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HEY MATE
homomorphism
a mapping f from a group( G,O)is called a homomorphism.
f(aob)=f(a)o'(b)
where a,b, belong to G.
ISOMORPHISM:
late G and G' be any two groups then a mapping f:G-->G' is called ISOMORPHISM if..
1) f is homomorphism
like that follow .
f(aob)=f(a)o'f(b)
2) f is one to one .
3) f is onto.
homomorphism constitution under the ISOMORPHISM, so,on this way
homomorphism called ISOMORPHISM
I hopes its helps u
nishat159:
thnaku
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