Definition with example isomorphism , homomorphism, automorphism
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Letting a particular isomorphismidentify the two structures turns this heap into a group. ... For example, a bijective linear map is an isomorphismbetween vector spaces, and a bijective continuous function whose inverse is also continuous is an isomorphism.
In set theory, an arbitrary permutation of the elements of a set X is an automorphism. ... Generally speaking, negation is anautomorphism of any abelian group, but not of a ring or field. A groupautomorphism is a group isomorphism from a group to itself.
In set theory, an arbitrary permutation of the elements of a set X is an automorphism. ... Generally speaking, negation is anautomorphism of any abelian group, but not of a ring or field. A groupautomorphism is a group isomorphism from a group to itself.
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