homomorphism sentence - homomorphism sentence in Hindi (11-20)

	11.	Any homomorphism defines an equivalence relation on by if and only if.
	12.	Equivalently, it is a diffeomorphism which is also a group homomorphism.
	13.	Hence the homomorphism is, in general, not injective.
	14.	This includes kernels for homomorphisms between abelian groups as a special case.
	15.	There is a homomorphism from the Pin group to the orthogonal group.
	16.	Even more is true : the * operation takes a homomorphism
	17.	As a consequence, the map above induces a surjective homomorphism
	18.	Every ideal is the kernel of a ring homomorphism and vice versa.
	19.	Multiplication of real numbers corresponds to composition of almost homomorphisms.
	20.	The first identity showed that individual elements are group homomorphisms.

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