# Answer to Question #16885 in Abstract Algebra for Mohammad

Question #16885

Is Z_6 semisimple Z-module?

Expert's answer

yes because Z_6=Z_2 |+| Z_3

where |+| direct sum. we use that all simple

Z-modules looks like Z_p where p is prime number

so Z_6 is a direct sum of

simple modules then it is semisimple

where |+| direct sum. we use that all simple

Z-modules looks like Z_p where p is prime number

so Z_6 is a direct sum of

simple modules then it is semisimple

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