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Translations for „surjective“ in the English » Polish Dictionary (Go to Polish » English)

surjective MATH

Monolingual examples (not verified by PONS Editors)

English
Mapping to and to yields a surjective group homomorphism.
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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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Many authors in abstract algebra and universal algebra define an epimorphism simply as an "onto" or surjective homomorphism.
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In some important cases, for example finite fields, is surjective.
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For in that case and its inverse preserve so must be surjective.
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A "subdirect product" is a subalgebra of the direct product such that all projection maps are surjective.
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They map the upper half-plane to itself (or to a real constant), but are not necessarily injective or surjective.
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The mapping is not surjective for all compact complex manifolds, but surjectivity does hold for all smooth projective varieties.
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The codomain affects whether a function is a surjection, in that the function is surjective if and only if its codomain equals its image.
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Likewise, a full functor need not be surjective on objects or morphisms.
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