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Translations for „isomorphism“ in the Russian » English Dictionary (Go to English » Russian)

изоморфи́зм

isomorphism

Monolingual examples (not verified by PONS Editors)

English

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. en.wikipedia.org

A morphism of varieties is birational if it restricts to an isomorphism between dense open subsets. en.wikipedia.org

The existence of this morphism is a consequence of the universal property which characterizes the product (up to isomorphism). en.wikipedia.org

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. en.wikipedia.org

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