64 516
Assignments Done
99,3%
Successfully Done
In September 2018

Answer to Question #23251 in Abstract Algebra for Hym@n B@ss

Question #23251
Show that the center Z(R) of prime ring R is an integral domain, and char R is either 0 or a prime number.

Expert's answer
Let nonzero a ∈ Z(R), and say ab = 0. Then aRb =Rab = 0, so b = 0 since R is a prime ring. This says that ais not a zero-divisor in R, and for domains char R is either0 or a prime number.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions