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 Mar19 comment Proof in ring homomorphism Thank you, it does make sense. Mar19 accepted Proof in ring homomorphism Mar19 asked Proof in ring homomorphism Mar17 accepted Why are we losing one degree of freedom in this $\chi^2$ variable? Mar17 asked Why are we losing one degree of freedom in this $\chi^2$ variable? Mar13 revised Abstract/formal interest of rings deleted 1 character in body Mar13 asked Abstract/formal interest of rings Mar8 accepted Bijection from $\mathbb{N} \to \mathbb{N}$ Mar8 comment Bijection from $\mathbb{N} \to \mathbb{N}$ Okay, what I was thinking was transposition. But then my question becomes: are there bijections in $\mathbb{N}$ to $\mathbb{N}$ which are not transpositions or compositions of them? (I am thinking about using a bijection to $\mathbb{Z}$ and then a simple bijection from $\mathbb{Z}$ to $\mathbb{Z}$ (like a constant shift) and then bring me back to $\mathbb{N}$... But is there simpler? Mar8 comment Bijection from $\mathbb{N} \to \mathbb{N}$ Well, I used that term to name an application $f_k$ which would only permute 1 and any k $\neq$ 1 for instance. So that there is an infinite amount of them. Mar8 asked Bijection from $\mathbb{N} \to \mathbb{N}$ Mar8 accepted Property on homomorphism between finite groups Mar6 comment Property on homomorphism between finite groups @stochasm yes! thank you for introducing cosets here, it makes it so much relevant and clearer Mar6 asked Property on homomorphism between finite groups Feb6 accepted Does an injective function always have a left inverse? Feb5 comment Does an injective function always have a left inverse? @AsafKaragila Hum... no?! Feb5 comment Does an injective function always have a left inverse? Indeed I see how it works for $x\rightarrow x^2$, $\mathbb{R}^+ \rightarrow \mathbb{R}$ with inverse $\sqrt{x}$ for $x \in \mathbb{R}^+$ otherwise any positive constant (implying that the inverse is not injective). Feb5 asked Does an injective function always have a left inverse? Jan29 asked Positive solutions of a diophantine equation Jan14 asked Conformal map from the inside of the unit disk to the inside of an ellipse