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algebraic structure SUBST

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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.
en.wikipedia.org
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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