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  • 0 posts edited
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  • 27 votes cast
Mar
19
comment Proof in ring homomorphism
Thank you, it does make sense.
Mar
19
accepted Proof in ring homomorphism
Mar
19
asked Proof in ring homomorphism
Mar
17
accepted Why are we losing one degree of freedom in this $\chi^2$ variable?
Mar
17
asked Why are we losing one degree of freedom in this $\chi^2$ variable?
Mar
13
revised Abstract/formal interest of rings
deleted 1 character in body
Mar
13
asked Abstract/formal interest of rings
Mar
8
accepted Bijection from $\mathbb{N} \to \mathbb{N}$
Mar
8
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?
Mar
8
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.
Mar
8
asked Bijection from $\mathbb{N} \to \mathbb{N}$
Mar
8
accepted Property on homomorphism between finite groups
Mar
6
comment Property on homomorphism between finite groups
@stochasm yes! thank you for introducing cosets here, it makes it so much relevant and clearer
Mar
6
asked Property on homomorphism between finite groups
Feb
6
accepted Does an injective function always have a left inverse?
Feb
5
comment Does an injective function always have a left inverse?
@AsafKaragila Hum... no?!
Feb
5
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).
Feb
5
asked Does an injective function always have a left inverse?
Jan
29
asked Positive solutions of a diophantine equation
Jan
14
asked Conformal map from the inside of the unit disk to the inside of an ellipse