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Apr
24
awarded  Popular Question
Apr
7
awarded  Good Question
Apr
2
awarded  Popular Question
Feb
1
answered How do we conclude that $f(x)=0, \forall x\in \mathbb{R}$ ?
Dec
18
answered How to show that $Sp\{u+v-3w,2v-w,t+w,v+w\} = Sp\{u,v,w,t\}$
Dec
16
awarded  Yearling
Nov
18
awarded  Popular Question
Nov
9
accepted Proving that the maximal abelian extension contains all abelian extensions
Nov
9
answered Prove the infinite union is not regular
Nov
7
comment An exercise related to Krull topology - showing that two bases define the same topology
@random123 - Could please you add some details ?
Nov
7
asked An exercise related to Krull topology - showing that two bases define the same topology
Nov
6
accepted What is a good theoretical, yet somewhat practical, book about error correction codes?
Nov
6
accepted Subgroups of Index $2$ of $(\mathbb{Z}_{2})^{\aleph_{0}}$
Nov
6
comment Subgroups of Index $2$ of $(\mathbb{Z}_{2})^{\aleph_{0}}$
@AsafKaragila - I mean the one group, up to isomorphism, of order $2$. I don't know about the dyadic integers (yet ?)
Nov
6
revised Subgroups of Index $2$ of $(\mathbb{Z}_{2})^{\aleph_{0}}$
added 104 characters in body
Nov
6
asked Subgroups of Index $2$ of $(\mathbb{Z}_{2})^{\aleph_{0}}$
Nov
6
answered Prove that the Language $L= \{ 0^n1^m \;|\; n,m \ge 0 \}$ is regular
Nov
3
awarded  Enlightened
Nov
3
awarded  Nice Answer
Nov
2
comment Checking irreducibility of a polynomial in $\mathbb{K}[x,y]$ and PAC fields
Thank you for posting an answer, I think there is a counter example for your claim: Take $K=\mathbb{R}$ and $\phi=-x^{2}$ which is separable as every irreducible factor is separable. $n=2$ and the $n$-th roots of unity are $\pm1\in\mathbb{R}$. $F(x,y)=y^{2}-\phi(x)=y^{2}+x^{2}=(y+ix)(y-ix)$ is a factorization over $\mathbb{C}$ so that $F(x,y)$ is not irreducible as claimed. Did I miss something ?