# User contributions

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- 18:10, 18 February 2018 (diff | hist) . . (+283) . . Definition:Splitting Polynomial (current)
- 17:54, 18 February 2018 (diff | hist) . . (+87) . . Minimal Polynomial of Element with Finite Orbit under Group of Automorphisms over Fixed Field in terms of Orbit (current)
- 17:52, 18 February 2018 (diff | hist) . . (+41) . . N Definition:Quasi-Galois Extension (Redirected page to Definition:Normal Extension) (current)
- 17:52, 18 February 2018 (diff | hist) . . (+97) . . Definition:Normal Extension (aka quasi-Galois, cf. Bourbaki) (current)
- 17:49, 18 February 2018 (diff | hist) . . (0) . . m Equivalence of Definitions of Finite Galois Extension (current)
- 17:46, 18 February 2018 (diff | hist) . . (+41) . . N Definition:Normal Field Extension (Redirected page to Definition:Normal Extension) (current)
- 17:45, 18 February 2018
(diff | hist) . .
**(+771)** . . Equivalence of Definitions of Finite Galois Extension - 17:35, 18 February 2018 (diff | hist) . . (-29) . . Definition:Absolute Galois Group (notation explained) (current)
- 17:34, 18 February 2018 (diff | hist) . . (+70) . . Definition:Galois Group of Field Extension (current)
- 17:32, 18 February 2018
(diff | hist) . .
**(+2,015)** . . Minimal Polynomial of Element with Finite Orbit under Group of Automorphisms over Fixed Field in terms of Orbit (→Proof) - 17:08, 18 February 2018
(diff | hist) . .
**(+712)** . . N Minimal Polynomial of Element with Finite Orbit under Group of Automorphisms over Fixed Field in terms of Orbit (Created page with "== Theorem == Let $E$ be a field. Let $G \leq \operatorname{Aut}(E)$ be a subgroup of its Definition:Automorphism Group of Fie...") - 17:07, 18 February 2018 (diff | hist) . . (+67) . . Transitivity of Algebraic Extensions (current)
- 17:02, 18 February 2018
(diff | hist) . .
**(+1,141)** . . N Finite Orbit under Group of Automorphisms of Field implies Separable over Fixed Field (Created page with "== Theorem == Let $E$ be a field. Let $G \leq \operatorname{Aut}(E)$ be a subgroup of its Definition:Automorphism Group of Fie...") - 16:32, 18 February 2018
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**(+866)** . . N Definition:Profinite Group (Created page with "== Definition == === Definition 1 === A '''profinite group''' is a topological group that is Definition:Isomorphism of Topological Groups|...") (current) - 16:24, 18 February 2018 (diff | hist) . . (+44) . . Definition:Separable Closure (→Also see) (current)
- 16:23, 18 February 2018
(diff | hist) . .
**(+657)** . . N Definition:Absolute Galois Group (Created page with "== Definition == Let $K$ be a field. === Definition 1 === The '''absolute Galois group''' of $K$ is the Definition:Galois Group of Field Extension|G...") - 16:16, 18 February 2018 (diff | hist) . . (+60) . . Definition:Field Extension/Finite (current)
- 16:15, 18 February 2018 (diff | hist) . . (+10) . . Separable Elements Form Field (categories) (current)
- 16:15, 18 February 2018 (diff | hist) . . (+29) . . N Category:Separable Field Extensions (Created page with "Category:Field Extensions")
- 16:12, 18 February 2018
(diff | hist) . .
**(+1,089)** . . N Subextensions of Separable Field Extension are Separable (Created page with "== Theorem == Let $E/K/F$ be a tower of fields. Let $E/F$ be separable. Then $E/K$ and $K/F$ are ...") - 15:53, 18 February 2018 (diff | hist) . . (+2) . . m Definition:Inseparable Degree (typo) (current)
- 15:52, 18 February 2018 (diff | hist) . . (+394) . . N Definition:Inseparable Degree (Created page with "== Definition == Let $E/F$ be a field extension. Let $S \subseteq E$ be the separable closure of $F$...")
- 15:52, 18 February 2018 (diff | hist) . . (+111) . . Definition:Separable Degree (+notation)
- 15:50, 18 February 2018 (diff | hist) . . (+384) . . N Definition:Separable Degree (Created page with "== Definition == Let $E/F$ be a field extension. Let $S \subseteq E$ be the separable closure of $F$...")
- 15:40, 18 February 2018 (diff | hist) . . (+7) . . Definition:Relative Separable Closure (→Also see: fix link after page move) (current)
- 15:40, 18 February 2018 (diff | hist) . . (0) . . m Decomposition of Field Extension as Separable Extension followed by Purely Inseparable (Barto moved page Decomposition of Field Extension as Separable Extension followed by Inseparable to Decomposition of Field Extension as Separable Extension followed by Purely Inseparable) (current)
- 15:40, 18 February 2018 (diff | hist) . . (+16) . . Decomposition of Field Extension as Separable Extension followed by Purely Inseparable
- 15:40, 18 February 2018 (diff | hist) . . (+86) . . Definition:Relative Separable Closure
- 15:39, 18 February 2018
(diff | hist) . .
**(+549)** . . N Decomposition of Field Extension as Separable Extension followed by Purely Inseparable (Created page with "== Theorem == Let $E/F$ be an algebraic field extension. Then the Definition:Relative Separable Closure|relative separable closur...") - 15:31, 18 February 2018 (diff | hist) . . (+97) . . Definition:Purely Inseparable Field Extension (→Also see) (current)
- 15:30, 18 February 2018 (diff | hist) . . (+88) . . Definition:Purely Inseparable Field Extension
- 15:21, 18 February 2018 (diff | hist) . . (+430) . . N Separable Elements Form Field (Created page with "== Theorem == Let $E/F$ be an algebraic field extension. Then the subset of Definition:Separable Element of...")
- 15:19, 18 February 2018 (diff | hist) . . (0) . . m Definition:Relative Separable Closure (→Also see)
- 15:17, 18 February 2018 (diff | hist) . . (+1) . . m Definition:Field Extension/Degree (spacing) (current)
- 15:17, 18 February 2018 (diff | hist) . . (+70) . . Definition:Field Extension/Degree (also see (in)separable degree)
- 15:14, 18 February 2018 (diff | hist) . . (+59) . . Definition:Separably Closed Field (→Also see) (current)
- 15:14, 18 February 2018 (diff | hist) . . (+40) . . Definition:Algebraically Closed Field (→Also see) (current)
- 15:12, 18 February 2018 (diff | hist) . . (+10) . . m Definition:Perfect Field (current)
- 15:11, 18 February 2018 (diff | hist) . . (+291) . . Definition:Perfect Field
- 15:06, 18 February 2018 (diff | hist) . . (+2) . . Definition:Separably Closed Field (→Also see)
- 15:05, 18 February 2018
(diff | hist) . .
**(+843)** . . N Definition:Separably Closed Field (Created page with "== Definition == Let $K$ be a field. Then $K$ is '''separably closed''' {{iff}} === Definition 1 === :The only Definition:Separab...") - 15:00, 18 February 2018 (diff | hist) . . (+19) . . Definition:Separable Closure (→Also see)
- 15:00, 18 February 2018
(diff | hist) . .
**(+536)** . . N Definition:Separable Closure (Created page with "== Definition == Let $K$ be a field. A '''separable closure''' of $K$ is a separably closed ...") - 14:57, 18 February 2018 (diff | hist) . . (0) . . m Definition:Purely Inseparable Field Extension (Barto moved page Definition:Purely Inseparable Extension to Definition:Purely Inseparable Field Extension)
- 14:57, 18 February 2018 (diff | hist) . . (+59) . . N Definition:Purely Inseparable Extension (Barto moved page Definition:Purely Inseparable Extension to Definition:Purely Inseparable Field Extension) (current)
- 14:57, 18 February 2018 (diff | hist) . . (+318) . . N Definition:Inseparable Field Extension (Created page with "== Definition == Let $E/F$ be an algebraic field extension. Then $E/F$ is '''inseparable''' {{iff}} it is not Definition:Separabl...") (current)
- 14:54, 18 February 2018 (diff | hist) . . (+414) . . N Definition:Relative Separable Closure (Created page with "== Definition == Let $E/F$ be a field extension. The '''(relative) separable closure''' of $E$ in $F$ is the Definition:Intermediate Field|...")
- 14:30, 18 February 2018 (diff | hist) . . (+42) . . N Definition:Separable Element of Field Extension (Redirected page to Definition:Separable Element) (current)
- 14:30, 18 February 2018 (diff | hist) . . (+399) . . N Definition:Inseparable Element of Field Extension (Created page with "== Definition == Let $E/F$ be a field extension. Let $\alpha \in E$ be algebraic over $F$....") (current)
- 14:27, 18 February 2018 (diff | hist) . . (+290) . . Definition talk:Characteristic of Ring

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