# Division subring S = division ring D or S is a subset of D

Not what you're looking for?

Modern Algebra

Division Ring

Let D be a division ring, Z its center and let S be a division subring of D which is stabilized by every map

x→dxd-1, d ≠ 0 in D. Show that either S = D or S is a subset of D.

See the attached file.

##### Purchase this Solution

##### Solution Summary

This solution is comprised of a detailed explanation of the problems of division rings. It contains step-by-step explanation for the problem.

##### Solution Preview

Modern Algebra

Division Ring

...

###### Education

- BSc, Manipur University
- MSc, Kanpur University

###### Recent Feedback

- "Thanks this really helped."
- "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
- "Very nice thank you"
- "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
- "You are awesome. Thank you"

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Probability Quiz

Some questions on probability

##### 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.