How to show the existence of $alpha_1,cdots,alpha_n$ as a basis of $L|K$ which is contained in $B$?











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In (2.9) Lemma, how to show the existence of $alpha_1,cdots,alpha_n$ as a basis of $L|K$ which is contained in $B$?






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    It would be a great idea at least to put the pic straight up...
    – DonAntonio
    Nov 17 at 23:01















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enter image description here
In (2.9) Lemma, how to show the existence of $alpha_1,cdots,alpha_n$ as a basis of $L|K$ which is contained in $B$?






field-theory algebraic-number-theory extension-field







share|cite|improve this question




















  • 1




    It would be a great idea at least to put the pic straight up...
    – DonAntonio
    Nov 17 at 23:01













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2
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favorite









up vote
2
down vote

favorite











enter image description here
In (2.9) Lemma, how to show the existence of $alpha_1,cdots,alpha_n$ as a basis of $L|K$ which is contained in $B$?






field-theory algebraic-number-theory extension-field







share|cite|improve this question















enter image description here
In (2.9) Lemma, how to show the existence of $alpha_1,cdots,alpha_n$ as a basis of $L|K$ which is contained in $B$?






field-theory algebraic-number-theory extension-field




field-theory algebraic-number-theory extension-field






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edited Nov 17 at 23:07

























asked Nov 17 at 22:53









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  • 1




    It would be a great idea at least to put the pic straight up...
    – DonAntonio
    Nov 17 at 23:01














  • 1




    It would be a great idea at least to put the pic straight up...
    – DonAntonio
    Nov 17 at 23:01








1




1




It would be a great idea at least to put the pic straight up...
– DonAntonio
Nov 17 at 23:01




It would be a great idea at least to put the pic straight up...
– DonAntonio
Nov 17 at 23:01










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Let $beta_1, cdots,beta_n$ be any basis of $L|K$, we can use this method to get $alpha_1,cdots, alpha_n$ as basis of $L|K$ which is contained in $B$.






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    enter image description here



    Let $beta_1, cdots,beta_n$ be any basis of $L|K$, we can use this method to get $alpha_1,cdots, alpha_n$ as basis of $L|K$ which is contained in $B$.






    share|cite|improve this answer

























      up vote
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      enter image description here



      Let $beta_1, cdots,beta_n$ be any basis of $L|K$, we can use this method to get $alpha_1,cdots, alpha_n$ as basis of $L|K$ which is contained in $B$.






      share|cite|improve this answer























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        enter image description here



        Let $beta_1, cdots,beta_n$ be any basis of $L|K$, we can use this method to get $alpha_1,cdots, alpha_n$ as basis of $L|K$ which is contained in $B$.






        share|cite|improve this answer












        enter image description here



        Let $beta_1, cdots,beta_n$ be any basis of $L|K$, we can use this method to get $alpha_1,cdots, alpha_n$ as basis of $L|K$ which is contained in $B$.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 17 at 23:50









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