Full Subcategory: FinVect_q ⊊ FinVect_k
FinVect_q is a full subcategory of FinVect_k. When any two finite vector spaces over fields k of FinVect_k are finite vector spaces over finite fields of order q in FinVect_q, all linear maps between them are linear maps in FinVect_q too. Put another way, FinVect_q has only some of the objects of FinVect_k, but all of the arrows.
In terms of stuff, structure, and properties, finite vector spaces over finite fields of order q are like finite vector spaces over fields k but with extra properties.
full_subcategories: FinVect_q, FinVect_k
This data as json
subcategory | supercategory |
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FinVect_q | FinVect_k |