62 467
Assignments Done
98,8%
Successfully Done
In June 2018

Answer to Question #17264 in Abstract Algebra for Tsit Lam

Question #17264
Show that any nilpotent element is quasi-regular in every ring.
Expert's answer
Say an+1= 0. Then
a ◦ (−a − a2 −· · ·−an)= −a2 −· · ·−an + a(a + a2+ · · · + an) = 0,
and similarly
(−a − a2 −· ··−an) ◦ a = 0.
So, element a is quasi-regular.

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