Purchase Solution

# 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.

##### 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
...

Solution provided by:
###### 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"

##### 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