Answer to Question #16884 in Abstract Algebra for Mohammad

Question #16884
Is Z_4 semisimple Z-module?
1
Expert's answer
2012-10-22T11:12:38-0400
Z_4 is not semisimple. because it cant be split to the direct sum of simple
Z-modules. Why? because all simple Z-modules looks like Z_p where p is prime. so
for Z_4 we have only 1 possibility Z_4=Z_2 + Z_2. but its not true
so Z_4 is
not semisimple

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 the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS