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Answer to Question #16884 in Abstract Algebra for Mohammad

Question #16884
Is Z_4 semisimple Z-module?
Expert's answer
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

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