Question: Let A be a commutative ring. Let Af be a module, and N a submodule. Let N - Q, nonQ, be a primary decomposition of

Let A be a commutative ring. Let Af be a module, and N a submodule. Let N - Q, nonQ, be a primary decomposition of N. Let Q, = Q/N. Show that 0 = 0, nonQ, is a primary decomposition of 0 in M/N. State and prove the

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