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seen Mar 20 at 19:51

Apr
3
awarded  Nice Question
Jan
11
awarded  Yearling
Oct
29
awarded  Notable Question
Sep
5
awarded  Notable Question
Feb
21
awarded  Popular Question
Jan
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awarded  Yearling
Nov
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awarded  Popular Question
Apr
28
comment Endomorphisms of a ring $R$ considered as $R$-module
@BrettFrankel Thanks. Looks like I was trying to make things much too complicated.
Apr
28
comment Endomorphisms of a ring $R$ considered as $R$-module
So if $\varphi(1)=v$, then $\varphi(x)=vx$ for every $x\in V$. Then my answer is there is a homomorphism $\varphi_v$ that sends $x\leadsto xv$ for each $v\in V$. Is that right?
Apr
28
asked Endomorphisms of a ring $R$ considered as $R$-module
Apr
22
accepted Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$
Apr
11
comment Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$
So, if I'm understanding correctly, if you have irreducible polys for each of the generators individually, then the number of automorphisms is product of what you get when you consider each poly on it's own. Is that right? What's concerning me here is Chris's phrase "at most".
Apr
11
comment Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$
@lhf: just added homework tag. Thanks
Apr
11
revised Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$
added homework tag
Apr
11
asked Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$
Apr
11
accepted Show $f$ can't be irreducible over a finite field if $f^\prime$ is the zero polynomial.
Apr
2
asked Show $f$ can't be irreducible over a finite field if $f^\prime$ is the zero polynomial.
Mar
27
accepted Determine the irreducible polynomial for $\alpha=\sqrt{3}+\sqrt{5}$ over $\mathbb{Q}(\sqrt{10})$
Mar
25
revised Determine the irreducible polynomial for $\alpha=\sqrt{3}+\sqrt{5}$ over $\mathbb{Q}(\sqrt{10})$
added detail in response to suggested solution in comment and added homework tag
Mar
25
asked Determine the irreducible polynomial for $\alpha=\sqrt{3}+\sqrt{5}$ over $\mathbb{Q}(\sqrt{10})$