Abelian 2-group

id: abelian-2-group-172-7124913
title: Abelian 2-group
text: In mathematics, an Abelian 2-group is a higher dimensional analogue of an Abelian group, in the sense of higher algebra, which were originally introduced by Alexander Grothendieck while studying abstract structures surrounding Abelian varieties and Picard groups. More concretely, they are given by groupoids A which have a bifunctor + : A × A → A which acts formally like the addition an Abelian group. Namely, the bifunctor + has a notion of commutativity, associativity, and an identity structure.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Abelian_2-group
date created: 2020-12-20T05:15:03Z
date modified: 2024-09-01T21:46:53Z
main entity: {"identifier":"Q104835835","url":"https://www.wikidata.org/entity/Q104835835"}
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fields total: 13
integrity: 14

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