Antihomomorphic
Translation of "antihomomorphic" into Russian
antihomomorphic
AdjectiveUK
/ˌæntiˌhəʊməˈmɔːfɪk/
US
/ˌæntiˌhoʊməˈmɔrfɪk/
more antihomomorphic Comp.
most antihomomorphic Super.
The function is antihomomorphic, meaning it reverses the order of operations.
Функция является антигомоморфной, что означает, что она изменяет порядок операций.
Definitions
antihomomorphic
AdjectiveUK
/ˌæntiˌhəʊməˈmɔːfɪk/
US
/ˌæntiˌhoʊməˈmɔrfɪk/
Of a function or mapping between algebraic structures: reversing the order of the operation, so that applying the map to a product gives the product of the images in reverse order (e.g., f(x ⋅ y) = f(y) ⋅ f(x)).
The map f(g) = g⁻¹ on a group is antihomomorphic because f(ab) = b⁻¹a⁻¹.