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homomorphism (554B)


      1 # Homomorphism
      2 
      3 A [function] from a [structure] A to a [structure] B on the same [relational_signature] is a [homomorphism] if, for every [tuple] t in A for some [relation] R, the image of t by the function is also a [tuple] in B for R
      4 
      5 On specific structures:
      6 
      7 - [graph_homomorphism]
      8 
      9 Notions:
     10 
     11 - [homomorphism_closed]
     12 - [homomorphism_equivalence]
     13 - [homomorphism_count]
     14 
     15 [Computational_problem]: [homomorphism_problem]
     16 
     17 Variants: [homomorphism_variants]
     18 
     19 Up: [mathematics]
     20 
     21 See also: [core], [retraction_minimum_violation]
     22 
     23 Aliases: homomorphisms, hom