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What (who) is Quotient of an abelian category - definition
Quotient of an abelian category
In mathematics, the quotient (also called Serre quotient or Gabriel quotient) of an abelian category \mathcal{A} by a Serre subcategory \mathcal{B} is the abelian category \mathcal{A}/\mathcal{B} which, intuitively, is obtained from \mathcal{A} by ignoring (i.e.
Grothendieck category
In mathematics, a Grothendieck category is a certain kind of abelian category, introduced in Alexander Grothendieck's Tôhoku paper of 1957. English translation.
Pre-abelian category
ADDITIVE CATEGORY THAT HAS ALL KERNELS AND COKERNELS
Pre-Abelian categories; Preabelian category; Pre-Abelian category
In mathematics, specifically in category theory, a pre-abelian category is an additive category that has all kernels and cokernels.
