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In: Advanced Math

a. Give an example of a finitely generated module over an integral domain which is not...

a. Give an example of a finitely generated module over an integral domain which is not isomorphic to a direct sum of cyclic modules.

b. Let R be an integral domain and let M=<m_1,...,m_r> be a finitely generated module. Prove that rank of M is less than or equal to r.

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Expert Solution

Colby Messinger answered 1 year ago
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