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Одноязычные примеры (не проверены редакцией PONS)

английский
Specifically, an open immersion factors through an isomorphism with an open subscheme and a closed immersion factors through an isomorphism with a closed subscheme.
en.wikipedia.org
A morphism which is invertible in this sense is called an isomorphism.
en.wikipedia.org
Many common notions from mathematics (e.g. surjective, injective, free object, basis, finite representation, isomorphism) are definable purely in category theoretic terms (cf. monomorphism, epimorphism).
en.wikipedia.org
It is an -category generalization of a groupoid, a category in which every morphism is an isomorphism.
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A morphism of varieties is birational if it restricts to an isomorphism between dense open subsets.
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The existence of this morphism is a consequence of the universal property which characterizes the product (up to isomorphism).
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The notions of group homomorphism, subgroup, normal subgroup and the isomorphism theorems are typical examples.
en.wikipedia.org
An extremal epimorphism is an epimorphism that has no monomorphism as a second factor, unless that monomorphism is an isomorphism.
en.wikipedia.org
This follows readily from the isomorphism theorems for rings.
en.wikipedia.org
By convention, each such isomorphism class is represented by the rule with the lowest code number in it.
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