Tagged Questions

1
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Finite generation of ideal in function ring

Let $R$ be the ring of continuous functions from $[0,1]$ to the real numbers. Fix $c \in [0,1]$ and let $M_c$ = ker $E_c$ where $E_c$ denotes evaluation at $c$, a ring homomorphism from $R$ to the ...
13
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0answers
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What is the algebraic structure of functions with fixed points?

So I just noticed that the set of functions with a fixed point $$f(x_0)=x_0,$$ are closed under composition $$(f*g)(x):=g(f(x)),$$ and with $e(x)=x$, the inverible functions even seem to form a ...