Algebraic Numbers and Fields
Not what you're looking for?
Let be fields, and algebraic over F. show that if and only if for some .
---
Purchase this Solution
Solution Summary
Algebraic Numbers and Fields are investigated. The solution is detailed and well presented.
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
Let be fields, and algebraic over F. show that if and only if for some .
Solution:
Let , K . Since K : F is separable , and have distinct conjugates { = 1 , .... , m } and { = 1 , .... , n } , respectively , where the minimal polynomial of each over F has degree m and n , respectively . We assume that m , n 2 , since otherwise it immediately follows as ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts