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Ab (Category)

Ab (Category)

Feb 07, 20261 min read

Definition

Ab is the Category of abelian groups and group homomorphisms.

Properties

  • Ab is a complete and cocomplete category
  • Ab is an Abelian Category
  • The zero object is the trivial group
  • Products and coproducts coincide (biproducts)

Related Concepts

  • Abelian Group
  • Grp (Category): The category of all groups
  • Category
  • Abelian Category

Graph View

  • Definition
  • Properties
  • Related Concepts

Backlinks

  • Abelian Category
  • Additive Category
  • Category

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