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For questions on modules over rings.

1 vote
1 answer
515 views

Cardinality of a linear independent subset of a free module over a commutative ring which is...

If R is a commutative ring with unity and not an integral domain and F is a free R-module with rank k,is there a linear independent set with cardinality > k? I prooved that this is not true if R is an …
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1 vote

Cardinality of a linear independent subset of a free module over a commutative ring which is...

Thank you all for your help.The best 2 answers i found are the one of Robin Chapman in this site and the similar one of Papaioannou in the Atiyah-MacDonald solution manual(http://dangtuanhiep.files.wo …
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