Implication Details
Claim: If a category is locally strongly finitely presentable, then it is multi-algebraic.
Proof: This is because that every finite-product-sketch is clearly a (finite product, coproduct)-sketch.
Show 29 categories using this implication
- category of abelian groups
- category of algebras
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of filtered vector spaces
- category of groups
- category of Jónsson-Tarski algebras
- category of left modules over a division ring
- category of left modules over a ring
- category of M-sets
- category of monoids
- category of pairs of sets
- category of pointed sets
- category of rings
- category of rngs
- category of semigroups
- category of set functions and commutative squares
- category of sets
- category of sets with a distinguished subset
- category of simplicial sets
- category of torsion-free abelian groups
- category of vector spaces
- partially ordered set of extended natural numbers
- trivial category
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism