A term for a function from X to X?

[honestrosewater]

Is there a term for a function from a set to itself? It would be handy.

 

[Muzza]

http://mathworld.wolfram.com/Self-Map.html

 

[dextercioby]

If the mapping is linear,the application is called linear endomorphism...I'm sure a college student is fed up with these in the linear algebra course.I was...

Daniel.

 

[honestrosewater]

Yeah, I like self-map better :) So you say F is a self-map of X not on X, right?

 

[dextercioby]

On is the appropriate preposition.

Daniel.

 

[honestrosewater]

On is the appropriate preposition.

Daniel.

I had a feeling you would know.

 

[dextercioby]

This is terminology,though,it can vary from one source to another.I told u what i've been taught...

Daniel.

 

[HallsofIvy]

"automorphism" is, generally, a function from A to A that "preserves" whatever algebraic structure A has.

 

[Galileo]

"automorphism" is, generally, a function from A to A that "preserves" whatever algebraic structure A has.

I've learned that that's an endomorphism. An automorphism is an bijective endomorphism.

 

[HallsofIvy]

Oops, you're right. Thanks.