isomorphism in the Oxford-Paravia Italian Dictionary

Translations for isomorphism in the English»Italian Dictionary (Go to Italian»English)

Translations for isomorphism in the Italian»English Dictionary (Go to English»Italian)

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English
A morphism of varieties is birational if it restricts to an isomorphism between dense open subsets.
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
An extremal epimorphism is an epimorphism that has no monomorphism as a second factor, unless that monomorphism is an isomorphism.
en.wikipedia.org
A principal polarisation is a polarisation that is an isomorphism.
en.wikipedia.org
A morphism which is invertible in this sense is called an isomorphism.
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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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This word is a play on the many morphisms in mathematics, but cryptomorphism is only very distantly related to isomorphism, homomorphism, or morphisms.
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
This follows readily from the isomorphism theorems for rings.
en.wikipedia.org
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

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