20041110 MAT 4061 GALOIS TEORISI 1 VIZE doc
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Cap tulo1 Extens oesdecorpos 1. c x x2 1 ,oqual IR omiox2 1possuisuas ra zes. 1n aotem ra x x2 1 ,oqual eisomorfoaZZ7 i fa bija;b2ZZ7ei2 1g. 1 eirredut 1 emaximaleZZ7 x x2 1 e umcorpo. PensandoemZZ7 i tamb 1possuisuasra.
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ALESSANDROD ANDREA I NDICE 1. 1 1. 1. 1 1. 2. Omomor 2 1. 3. Dominiecampi 2 1. 4. 2 1. 5. smitracampi2 1. 6. 3 1. 7. 1. 8. 3 2. 4 2. 1. Estensioni 4 2. 2. 6 2. 3. 6 2. 4. 3. Campi niti 7 3. 1. 3. 2. Classi cazionedeicampi niti 8 3. 3. Automor smidiuncampo
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STNB2012 Programa1. Bi algebres, algebres deHopf. Exemples:bi algebra defuncions. L. De extensi o Hopf-Galois. 6 , 8 , 10 , 13 , 17 , 20. 2. Caracte- ritzaci od. de. Primersexemples. Formesdeles algebresdegrup. Basesnormalsd.
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eld. X hasasplitting eld. Itisuniqueupto isomorphism. Apolynomialf2K X iscalled separable eld aredistinct. De nition. LetK L bea niteextension. X ofanyx2L X. separable ,ifeveryx2L isseparableover K. Thismeansthat.
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