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Traductions de „algebraic structure“ dans le dictionnaire anglais » allemand (Aller à allemand » anglais)

algebraic structure SUBST

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anglais
The notion of object and morphism in category theory generalizes the notion of algebraic structure and homomorphism, respectively.
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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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The cycle space, also, has an algebraic structure, but a more restrictive one.
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As an algebraic structure, every field is a ring, but not every ring is a field.
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In addition, in each example the restriction maps are homomorphisms of the corresponding algebraic structure.
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The operation used to combine pairs of states in this automaton forms an algebraic structure known as a rectangular band.
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In universal algebra, a signature lists the operations that characterize an algebraic structure.
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Any monoid (any algebraic structure with a single associative binary operation and an identity element) forms a small category with a single object "x".
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In the context of abstract algebra, for example, a mathematical object is an algebraic structure such as a group, ring, or vector space.
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Such chains have the algebraic structure of a monoid, called a transformation monoid or composition monoid.
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