Quotient category - meaning and definition. What is Quotient category
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What (who) is Quotient category - definition


Quotient category         
In mathematics, a quotient category is a category obtained from another one by identifying sets of morphisms. Formally, it is a quotient object in the category of (locally small) categories, analogous to a quotient group or quotient space, but in the categorical setting.
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.
Quotient space (linear algebra)         
VECTOR SPACE CONSISTING OF AFFINE SUBSETS
Linear quotient space; Quotient vector space
In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read "V mod N" or "V by N").