About: Biproduct

An Entity of Type: Class107997703, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

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.

Property Value
dbo:abstract
  • 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. (en)
  • 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。 (zh)
dbo:wikiPageID
  • 59574 (xsd:integer)
dbo:wikiPageLength
  • 6313 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1107665487 (xsd:integer)
dbo:wikiPageWikiLink
dbp:date
  • April 2020 (en)
dbp:reason
  • 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. (en)
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • 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. (en)
  • 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。 (zh)
rdfs:label
  • Biproduct (en)
  • 雙積 (zh)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageRedirects of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License