surjectionn.

/səːˈdʒɛkʃən/

Etymology: < sur- prefix, after injection n. 5.

Mathematics.

An onto mapping.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > transformation > [noun] > correspondence > preserving relations or elements

inclusion1870

orthomorphosis1885

isomorphism1892

identity1910

homoeomorphism1918

homomorphism1935

topological mapping or transformation1939

isometry1941

Möbius transformation1941

injection map(ping)1950

monomorphism1954

bijection1963

surjection1964

1964 W. J. Pervin Found. Algebraic Topol. i. 11 f is a surjection or epimorphism.

1979 Q. Jrnl. Math. 30 358 The well-known surjection from tensor powers of P_ab to lower central factors of P.

Derivatives

surˈjective adj. that is a surjection.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > transformation > [adjective] > having specific correspondence

orthogonal1852

permutational1888

isomorphic1892

birational1894

unary1931

homomorphic1935

symplectic1939

involutory1941

injective1952

monomorphic1958

bijective1962

surjective1964

1964 Sze-Tsen Hu Introd. Gen. Topol. i. 7 f:X → Y is surjective if, for every point y in Y, there exists at least one point x in X such that f(x) = y.

1968 D. L. Clarke Analyt. Archaeol. ix. 360 The taxa of one aspect are related to the taxa of the other aspects as elaborate injective and surjective mappings.

1979 Proc. London Math. Soc. 38 209 We recall some facts..about the abelian group A(G)... If F is a finite subgroup of G, then A(G) → A(F) is surjective.

This entry has not yet been fully updated (first published 1986; most recently modified version published online June 2018).

单词	surjection
释义	surjectionn. /səːˈdʒɛkʃən/ Etymology: < sur- prefix, after injection n. 5. Mathematics. An onto mapping. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > transformation > [noun] > correspondence > preserving relations or elements inclusion1870 orthomorphosis1885 isomorphism1892 identity1910 homoeomorphism1918 homomorphism1935 topological mapping or transformation1939 isometry1941 Möbius transformation1941 injection map(ping)1950 monomorphism1954 bijection1963 surjection1964 1964 W. J. Pervin Found. Algebraic Topol. i. 11 f is a surjection or epimorphism. 1979 Q. Jrnl. Math. 30 358 The well-known surjection from tensor powers of P_ab to lower central factors of P. Derivatives surˈjective adj. that is a surjection. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > transformation > [adjective] > having specific correspondence orthogonal1852 permutational1888 isomorphic1892 birational1894 unary1931 homomorphic1935 symplectic1939 involutory1941 injective1952 monomorphic1958 bijective1962 surjective1964 1964 Sze-Tsen Hu Introd. Gen. Topol. i. 7 f:X → Y is surjective if, for every point y in Y, there exists at least one point x in X such that f(x) = y. 1968 D. L. Clarke Analyt. Archaeol. ix. 360 The taxa of one aspect are related to the taxa of the other aspects as elaborate injective and surjective mappings. 1979 Proc. London Math. Soc. 38 209 We recall some facts..about the abelian group A(G)... If F is a finite subgroup of G, then A(G) → A(F) is surjective. This entry has not yet been fully updated (first published 1986; most recently modified version published online June 2018). < n.1964
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