How to factorize $f(x,y)$ into $f_1(x)f_2(y)$?
71410
How can I separate a separable function
32599
Solution to the functional equation $f(x^y)=f(x)^{f(y)}$
55432
Infinite distinct factorizations into irreducibles for an element
139436
Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem
65827
When $\min_{x \in X,y \in Y} f(x,y) = \min_{x \in X} \min_{y \in Y} f(x,y)$?
43667
Is $f(x,y(x))$ a function of two variables? If so, how is that possible?
21891
If $f(xy)=f(x)f(y)$ then show that $f(x) = x^t$ for some t
103019
Find all functoins $f: \mathbb R \rightarrow \mathbb R$ such that $\forall x,y \in \mathbb R f(xy+f(x))=xf(y)+f(x)$
14830
A transformation of F[x]
153942
Solution of functional equation $f(x+y)=f(x)+f(y)+y\sqrt{f(x)}$
29403
Finding functions $f: \Bbb R_*^+ \to \Bbb R_*^+$ with certain properties
409
functions satisfying $f(x - y) = f(x) f(y) - f(a - x) f(a + y)$ and $f(0)=1$
82597
How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$
77071
Solve the functional equation $f(xy) = f(x)f(y) - f(x + y) + 1$ and $f(1) = 2$
94256
Partial factorization of multivariate polynomials in terms of given polynomials
103251
Solution(s) to $f(x + y) = f(x) + f(y)$ (and miscellaneous questions...)
111129
Show that $[K:F]_s = [K:L]_s [L:F]_s$ and $[K:F]_i = [K:L]_i [L:F]_i$.