Abelian dans le dictionnaire italien Oxford-Paravia

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Abelian group

Exemples monolingues (non-vérifiés par l'équipe de rédaction)

anglais
Note that this particular automorphism (negative in abelian groups) agrees with complex conjugation.
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In an abelian category, every monomorphism is the kernel of its cokernel, and every epimorphism is the cokernel of its kernel.
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In that way, regular categories recapture many properties of abelian categories, like the existence of "images", without requiring additivity.
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Every finitely generated abelian group or nilpotent group is polycyclic.
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It is abelian, and isomorphic to the dihedral group of order (cardinality) 4.
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There are also dissimilarities because the color charge is non-abelian, whereas the electric charge is abelian.
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As such it is an algebraic structure with notions of addition, subtraction, multiplication, and division satisfying the appropriate abelian group equations and distributive law.
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In an abelian category, every morphism "f" can be written as the composition of an epimorphism followed by a monomorphism.
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A finite abelian extension has a normal integral basis if and only if it is tamely ramified over.
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Finding a generator of an abelian category allows one to express every object as a quotient of a direct sum of copies of the generator.
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