Implication Details
Claim: If a category has biproducts and has cofiltered limits, then it has cocartesian cofiltered limits.
Proof: This follows from the dual implication.
Show 21 categories using this implication
- category of abelian groups
- category of large families of abelian groups
- category of algebras
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of cochain complexes of abelian groups
- category of filtered vector spaces
- category of left modules over a ring
- category of left modules over a division ring
- category of left modules over a non-semisimple ring
- category of rings
- category of sequences of abelian groups
- category of abelian sheaves
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of long transfinite sequences of abelian groups
- category of vector spaces
- category of large families of vector spaces which are mostly zero
- category of graded abelian groups
- category of graded modules over a graded ring