homomorphism (Q1417)

From MaRDI portal
structure-preserving map between two (algebraic, relational or mixed) structures of the same signature
  • homomorphic
  • structure-preserving map
Language Label Description Also known as
default for all languages
No label defined
    English
    homomorphism
    structure-preserving map between two (algebraic, relational or mixed) structures of the same signature
    • homomorphic
    • structure-preserving map

    Statements

    defining formula
    ϕ(fA(a1,a2,…,an))=fB(ϕ(a1),ϕ(a2),…,ϕ(an))rA(a1,a2,…,an)⟹rB(ϕ(a1),ϕ(a2),…,ϕ(an))
    1 reference
    imported from Wikimedia project
    Korean Wikipedia
    different from
    morphism
    0 references
    studied in
    abstract algebra
    0 references
    model theory
    0 references
    universal algebra
    0 references
    subclass of
    function
    0 references

    Identifiers

    Wikidata QID
    Q215111
    0 references
    PSH ID
    7362
    0 references
    JSTOR topic ID
    homomorphisms
    0 references
    Encyclopædia Britannica Online ID
    topic/homomorphism
    subject named as
    homomorphism
    0 references
    BabelNet ID
    00044596n
    1 reference
    stated in
    BabelNet
    OmegaWiki Defined Meaning
    956230
    0 references
    Microsoft Academic ID
    4042151
    0 references
    Brilliant Wiki ID
    homomorphism
    0 references
    nLab ID
    homomorphism
    0 references
    Freebase ID
    /m/03jd7
    0 references
    Library of Congress authority ID
    sh85061771
    subject named as
    Homomorphisms (Mathematics)
    1 reference
    stated in
    Integrated Authority File
    Online PWN Encyclopedia ID
    3912540
    0 references
    Den Store Danske ID
    homomorfi
    0 references
    NL CR AUT ID
    ph714665
    subject named as
    homomorfismy
    0 references
    Treccani ID
    omomorfismo
    subject named as
    omomorfismo
    0 references
    Great Russian Encyclopedia portal ID
    gomomorfizm-5390b8
    0 references
    ProofWiki ID
    Definition:Homomorphism_(Abstract_Algebra)
    0 references
    Larousse ID
    divers/homomorphisme/58605
    0 references
    Encyclopedia of Mathematics article ID
    Homomorphism
    subject named as
    Homomorphism
    0 references
     
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