Implication Details
Claim: If a category is multi-algebraic, then it has effective congruences.
Proof: This is Thm. 4.0 in Yves Diers, Catégories Multialgébriques or its English translation.
Show 36 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 cochain complexes of abelian groups
- category of filtered vector spaces
- category of fields
- category of groups
- category of smooth manifolds
- category of metric spaces with non-expansive maps
- category of monoids
- category of sets with a distinguished subset
- partially ordered set of extended natural numbers
- 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 rngs
- category of schemes
- category of semigroups
- category of sequences of abelian groups
- category of pointed sets
- category of set functions and commutative squares
- category of pairs of sets
- category of pointed topological spaces
- category of torsion-free abelian groups
- category of uniform spaces
- category of vector spaces
- category of graded abelian groups
- category of graded modules over a graded ring
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking morphism
- dual of the category of topological spaces