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added latex and tag

edit approved Mar 21, 2015 at 13:38

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Injective dimension of cyclic modules

Let $R$ be a non-Noetherian ring. Is its left global dimension ${\rm{lD}}(R)$ equal to $\sup \{ {\rm{id}}(M) \mid M \text{ is a cyclic $R$-module} \}$? Here $\rm{{id}}(M)$ denotes the injective dimension of $M$.

ac.commutative-algebra ra.rings-and-algebras homological-dimension

asked May 11, 2010 at 8:55

TmobiusX

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