| http://dbpedia.org/ontology/abstract
|
在範疇論中，雙積是直積在預加法範疇中的推廣，它同時是範疇論意義下的積與。
, In category theory and its applications to … In category theory and its applications to mathematics, a biproduct of a finite collection of objects, in a category with zero objects, is both a product and a coproduct. In a preadditive category the notions of product and coproduct coincide for finite collections of objects. The biproduct is a generalization of finite direct sums of modules.lization of finite direct sums of modules.
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| http://dbpedia.org/ontology/wikiPageID
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59574
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| http://dbpedia.org/ontology/wikiPageLength
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6313
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| http://dbpedia.org/ontology/wikiPageRevisionID
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1107665487
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| http://dbpedia.org/ontology/wikiPageWikiLink
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http://dbpedia.org/resource/Object_%28category_theory%29 +
, http://dbpedia.org/resource/Isomorphism +
, http://dbpedia.org/resource/Cambridge_University_Press +
, http://dbpedia.org/resource/Projection_%28mathematics%29 +
, http://dbpedia.org/resource/Category_of_vector_spaces +
, http://dbpedia.org/resource/Block_matrix +
, http://dbpedia.org/resource/Direct_product_of_groups +
, http://dbpedia.org/resource/Abelian_categories +
, http://dbpedia.org/resource/Category_of_sets +
, http://dbpedia.org/resource/Embedding +
, http://dbpedia.org/resource/Field_%28mathematics%29 +
, http://dbpedia.org/resource/Direct_sum_of_abelian_groups +
, http://dbpedia.org/resource/Initial_object +
, http://dbpedia.org/resource/Product_%28category_theory%29 +
, http://dbpedia.org/resource/Terminal_object +
, http://dbpedia.org/resource/Category:Additive_categories +
, http://dbpedia.org/resource/Ring_%28mathematics%29 +
, http://dbpedia.org/resource/Category_of_groups +
, http://dbpedia.org/resource/Matrix_%28mathematics%29 +
, http://dbpedia.org/resource/Coproduct +
, http://dbpedia.org/resource/Category_%28mathematics%29 +
, http://dbpedia.org/resource/Category_of_modules +
, http://dbpedia.org/resource/Morphism +
, http://dbpedia.org/resource/Abelian_groups +
, http://dbpedia.org/resource/Cartesian_monoidal_category +
, http://dbpedia.org/resource/Zero_morphism +
, http://dbpedia.org/resource/Category_theory +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Category:Limits_%28category_theory%29 +
, http://dbpedia.org/resource/Examples_of_vector_spaces +
, http://dbpedia.org/resource/Additive_category +
, http://dbpedia.org/resource/Direct_sum_of_modules +
, http://dbpedia.org/resource/Free_product +
, http://dbpedia.org/resource/Nullary +
, http://dbpedia.org/resource/Preadditive_category +
, http://dbpedia.org/resource/Trivial_group +
, http://dbpedia.org/resource/Zero_object +
, http://dbpedia.org/resource/Disjoint_union +
, http://dbpedia.org/resource/Cartesian_product +
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| http://dbpedia.org/property/date
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April 2020
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| http://dbpedia.org/property/reason
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Surely we need to require that the category has zero morphisms, or at least a zero object, since otherwise this equation doesn't make sense.
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| http://dbpedia.org/property/wikiPageUsesTemplate
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http://dbpedia.org/resource/Template:Clarify +
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, http://dbpedia.org/resource/Template:Cite_book +
, http://dbpedia.org/resource/Template:Rp +
|
| http://purl.org/dc/terms/subject
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http://dbpedia.org/resource/Category:Limits_%28category_theory%29 +
, http://dbpedia.org/resource/Category:Additive_categories +
|
| http://www.w3.org/ns/prov#wasDerivedFrom
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http://en.wikipedia.org/wiki/Biproduct?oldid=1107665487&ns=0 +
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| http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Biproduct +
|
| owl:sameAs |
http://www.wikidata.org/entity/Q4915506 +
, https://global.dbpedia.org/id/4Yrey +
, http://yago-knowledge.org/resource/Biproduct +
, http://zh.dbpedia.org/resource/%E9%9B%99%E7%A9%8D +
, http://dbpedia.org/resource/Biproduct +
, http://rdf.freebase.com/ns/m.0g6xc +
|
| rdf:type |
http://dbpedia.org/class/yago/Abstraction100002137 +
, http://dbpedia.org/class/yago/WikicatAdditiveCategories +
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| rdfs:comment |
In category theory and its applications to … In category theory and its applications to mathematics, a biproduct of a finite collection of objects, in a category with zero objects, is both a product and a coproduct. In a preadditive category the notions of product and coproduct coincide for finite collections of objects. The biproduct is a generalization of finite direct sums of modules.lization of finite direct sums of modules.
, 在範疇論中，雙積是直積在預加法範疇中的推廣，它同時是範疇論意義下的積與。
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| rdfs:label |
雙積
, Biproduct
|
