surjective

Adjective

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Adjective

**surjective** (*not comparable*)

- (
*mathematics*) of, relating to, or being a surjection**1974**, Thomas W. Hungerford,*Algebra*, Springer, page 5 ↗,- A function \textstyle f is
**surjective**(or**onto**) provided \textstyle f(A) = B; in other words,- for each \textstyle b \in B, b = f(a) for some \textstyle a\in A.

- A function \textstyle f is said to be
**bijective**(or a**bijection**or a**one-to-one correspondence**) if it is both injective and**surjective**.

- A function \textstyle f is
**2010**, Tullio Ceccherini-Silberstein, Michel Coornaert,*Cellular Automata and Groups*, Springer, page 133 ↗,- The Garden of Eden Theorem (Theorem 5.3.1) implies that every
**surjective**cellular automaton with finite alphabet over an amenable group is necessarily pre-injective. In this section, we give an example of a**surjective**but not pre-injective cellular automaton with finite alphabet over the free group \textstyle F_2.

- The Garden of Eden Theorem (Theorem 5.3.1) implies that every
**2011**, Ethan D. Bloch,*Proofs and Fundamentals: A First Course in Abstract Mathematics*, Springer, 2nd Edition, page 156 ↗,- This function is
**surjective**and injective, and hence bijective.

- This function is

- Synonyms: onto

- French: surjectif
- Russian: сюръективный
- Spanish: sobreyectivo

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.099