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math.AC2017★ 2 cited
Counting submodules of a module over a noetherian commutative ring
Yves Cornulier
We count the number of submodules of an arbitrary module over a countable noetherian commutative ring. We give, along the way, a structural description of meager modules, which are…
math.AC2009★ 4 cited
The space of finitely generated rings
Yves Cornulier
The space of marked commutative rings on n given generators is a compact metrizable space. We compute the Cantor-Bendixson rank of any member of this space. For instance, the Canto…