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Product of rings

In mathematics, a product of rings or direct product of rings is a ring that is formed by the Cartesian product of the underlying sets of several rings (possibly an infinity), equipped with componentwise operations. It is a direct product in the category of rings.

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Map overview Semantic statistics

Product of rings

Nodes45
Edges44
Triples6
Avg. degree1.96
Density0.044444
Components1

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Product of rings

Top relations

related to Properties · 4
Product of rings → If, Ri, The, This
is a · 2
Product of rings → instance of products in the sense of category theory.When I is finite, ring that is formed by the Cartesian product of the underlying sets of several rings

Important terminology Word statistics

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Important terminology

product rings ring direct ri category ideal pi example products one displaystyle mathbb coproduct converse isomorphic mathematics isomorphism prime πi

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Product of ringsis aring that is formed by the Cartesian product of the underlying sets of several rings0.90text
Product of ringsis ainstance of products in the sense of category theory.When I is finite0.90text
Product of ringsrelated to PropertiesIf0.60section
Product of ringsrelated to PropertiesRi0.60section
Product of ringsrelated to PropertiesThe0.60section
Product of ringsrelated to PropertiesThis0.60section

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