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Datenkasse
Abelian
groupe abélien МАТЕМ.
Abelian group

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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.
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
Every finitely generated abelian group or nilpotent group is polycyclic.
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