m322qu3

m322qu3 - ∈ E-K ; a, b algebraic over K . Then K ( a, b )...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Spring 2009 Math 322 - Algebra II Quiz 3 - Field Extensions Prove that Q ( 2 , 3) = Q ( 2 + 3). Generalize your result (not an extensive generalization, just one step ahead). Here are some possible generalizations; choose one of them which you believe is true, then prove it: (1) (F. Tapramaz, 2009) Let E be an extension over K ; a, b
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ∈ E-K ; a, b algebraic over K . Then K ( a, b ) ' K ( a + b ). (2) (A.Taghiev, 2009) Q ( √ 2 , √ 3 , . . . , √ n ) ' Q ( √ 2 + √ 3 + . . . + √ n ). (3) (M.H. ¨ Ureten, 2009) (4) (B.Vural, 2009) Q ( a 1 , a 2 ) ' Q ( c 1 a 1 + c 2 a 2 ). Ferit ¨ Ozt¨urk, Bo˘gazi¸ci University 2009...
View Full Document

This note was uploaded on 05/04/2011 for the course MATH 321 taught by Professor Talinbudak during the Spring '11 term at BU.

Ask a homework question - tutors are online