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 Mar23 awarded Popular Question Jan25 awarded Popular Question Oct27 awarded Popular Question Sep14 awarded Popular Question Jul2 awarded Curious Apr3 awarded Nice Question Jan11 awarded Yearling Oct29 awarded Notable Question Sep5 awarded Notable Question Feb21 awarded Popular Question Jan11 awarded Yearling Nov9 awarded Popular Question Apr28 comment Endomorphisms of a ring $R$ considered as $R$-module @BrettFrankel Thanks. Looks like I was trying to make things much too complicated. Apr28 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? Apr28 asked Endomorphisms of a ring $R$ considered as $R$-module Apr22 accepted Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$ Apr11 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". Apr11 comment Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$ @lhf: just added homework tag. Thanks Apr11 revised Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$ added homework tag Apr11 asked Determine all automorphisms of $\mathbb{Q}(\sqrt[3]{2},\omega)$