английски » немски
isomorphism MATH

едноезични примери (не са проверени от PONS редакцията)

английски
Specifically, an open immersion factors through an isomorphism with an open subscheme and a closed immersion factors through an isomorphism with a closed subscheme.
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It is straightforward to show that multiplication is associative and commutative (up to isomorphism), and distributive over addition.
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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).
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A procedure called makes use of the isomorphism of every hypercube with this normal, changing the source, changes the hypercube.
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However, the isomorphism theorem gives a stronger result, because ring isomorphisms preserve multiplication while module isomorphisms (even between rings) in general do not.
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A collineation is thus an "isomorphism" between projective spaces, or an automorphism from a projective space to itself.
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A morphism which is invertible in this sense is called 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 notions of group homomorphism, subgroup, normal subgroup and the isomorphism theorems are typical examples.
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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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