| dbo:abstract |
In the mathematical field of category theory, the product of two categories C and D, denoted C × D and called a product category, is an extension of the concept of the Cartesian product of two sets. Product categories are used to define bifunctors and multifunctors. (en) Категория произведения — категория, получаемая из исходных категорий посредством их произведения — операции, обобщающей понятие декартова произведения множеств. (ru) 數學分支範疇論中，兩個範疇之積，是集合的笛卡兒積的延申。乘積以表示，其結果又稱積範疇（英語：product category）。定義雙函子及多函子時，要用到積範疇。 (zh) |
| dbo:wikiPageExternalLink |
https://archive.org/details/handbookofcatego0000borc/page/22 |
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4587226 (xsd:integer) |
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3336 (xsd:nonNegativeInteger) |
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1084454707 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Cartesian_product dbr:Categorical_product dbr:Bifunctor dbr:Up_to_isomorphism dbr:Commutative dbr:Mathematics dbr:Morphism dbr:Functor dbr:Dual_(category_theory) dbc:Category_theory dbr:Hom_functor dbr:Small_category dbr:Associative dbr:Category_(mathematics) dbr:Category_of_small_categories dbr:Category_theory dbr:Set_(mathematics) dbr:Object_(category_theory) |
| dbp:id |
product+category (en) |
| dbp:title |
Product category (en) |
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dbt:Cite_book dbt:Nlab dbt:Redirect dbt:Reflist dbt:Sfn dbt:Category_theory dbt:Categorytheory-stub |
| dcterms:subject |
dbc:Category_theory |
| gold:hypernym |
dbr:Extension |
| rdf:type |
dbo:Software |
| rdfs:comment |
In the mathematical field of category theory, the product of two categories C and D, denoted C × D and called a product category, is an extension of the concept of the Cartesian product of two sets. Product categories are used to define bifunctors and multifunctors. (en) Категория произведения — категория, получаемая из исходных категорий посредством их произведения — операции, обобщающей понятие декартова произведения множеств. (ru) 數學分支範疇論中，兩個範疇之積，是集合的笛卡兒積的延申。乘積以表示，其結果又稱積範疇（英語：product category）。定義雙函子及多函子時，要用到積範疇。 (zh) |
| rdfs:label |
Product category (en) Категория произведения (ru) 積範疇 (zh) |
| owl:sameAs |
freebase:Product category wikidata:Product category dbpedia-hu:Product category dbpedia-ru:Product category dbpedia-zh:Product category https://global.dbpedia.org/id/MHGS |
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wikipedia-en:Product_category?oldid=1084454707&ns=0 |
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wikipedia-en:Product_category |
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dbr:Product_of_categories |
| is dbo:wikiPageWikiLink of |
dbr:Monoidal_category dbr:Country-of-origin_effect dbr:Brand_report_card dbr:Equivalence_of_categories dbr:Opposite_category dbr:Comma_category dbr:Functor dbr:Product_category_volume dbr:Cult_brand dbr:Product_(category_theory) dbr:Product_(mathematics) dbr:Grothendieck_category dbr:OASIS_International dbr:Cartesian_monoidal_category dbr:Extensive_category dbr:Universal_property dbr:Strict_2-category dbr:Product_of_categories |
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dbr:Product_(category_theory) |
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wikipedia-en:Product_category |