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

abelian group N

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abelian group MATH

abelsche Gruppe

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Note that this particular automorphism (negative in abelian groups) agrees with complex conjugation. en.wikipedia.org

Every finitely generated abelian group or nilpotent group is polycyclic. en.wikipedia.org

There are also dissimilarities because the color charge is non-abelian, whereas the electric charge is abelian. en.wikipedia.org

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. en.wikipedia.org

Similarly, one can define presheaves and sheaves of abelian groups, rings, modules, and so on. en.wikipedia.org

They are important in many areas, including the theories of abelian varieties and moduli spaces, and of quadratic forms. en.wikipedia.org

A finite abelian extension has a normal integral basis if and only if it is tamely ramified over. en.wikipedia.org

Briefly, a ring is an abelian group with a second binary operation that is distributive over the abelian group operation and is associative. en.wikipedia.org

In an abelian category, every morphism "f" can be written as the composition of an epimorphism followed by a monomorphism. en.wikipedia.org

In an abelian category, every monomorphism is the kernel of its cokernel, and every epimorphism is the cokernel of its kernel. en.wikipedia.org

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