Category: FinVect_k

FinVect_k is the category whose objects are finite vector spaces over fields k and arrows are linear maps.

Facts Derived from Enrichment

FinVect_k has a zero morphism between any two objects (enriched in Set*).

Every object in FinVect_k is a ring (enriched in Ab).

Notable Subcategories

• FinVect_q (full)
• Mat_k (equivalence)
• Mat_k (skeleton)

Limits

Has a terminal object which is a zero object

Colimits

Has an initial object which is a zero object

categories: FinVect_k

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