Unformatted text preview: (2 points) 4. Problem 26.14 on page 131 (to show ( a + b √ 2 )1 ∈ Q [ √ 2 ] , multiply top and bottom by ab √ 2). (2 points) 5. Let R be a commutative ring of characteristic 3. Prove that if a , b ∈ R , then ( a + b ) 3 = a 3 + b 3 . (In other words, prove the Freshman calculus rule for the case p = 3.) (2 points) (5 problems, 11 points altogether)...
View
Full Document
 Fall '08
 PARRY
 Algebra, Determinant, Ring, Det, freshman calculus rule

Click to edit the document details