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

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isomorphism: noun
isomorphism: noun

isomorphism N

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topological isomorphism MATH

topologische Abbildung

isomorphism N

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isomorphism MATH

Isomorphismus m

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

It is straightforward to show that multiplication is associative and commutative (up to isomorphism), and distributive over addition. 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

A procedure called makes use of the isomorphism of every hypercube with this normal, changing the source, changes the hypercube. en.wikipedia.org

However, the isomorphism theorem gives a stronger result, because ring isomorphisms preserve multiplication while module isomorphisms (even between rings) in general do not. en.wikipedia.org

A collineation is thus an "isomorphism" between projective spaces, or an automorphism from a projective space to itself. en.wikipedia.org

A morphism which is invertible in this sense is called 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 notions of group homomorphism, subgroup, normal subgroup and the isomorphism theorems are typical examples. 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

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