Quotient of an abelian category
id:
quotient-of-an-abelian-category-244-10632344
title:
Quotient of an abelian category
text:
In mathematics, the quotient of an abelian category A by a Serre subcategory B is the abelian category A / B which, intuitively, is obtained from A by ignoring all objects from B . There is a canonical exact functor Q : A → A / B whose kernel is B , and A / B is in a certain sense the most general abelian category with this property. Forming Serre quotients of abelian categories is thus formally akin to forming quotients of groups. Serre quotients are somewhat similar to quotient categories, the
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Quotient_of_an_abelian_category
date created:
date modified:
2024-03-22T05:20:14Z
main entity:
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fields total:
13
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