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Results tagged with homological-dimension
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user 60722
For questions having to do with projective and injective dimensions of modules, global dimension of rings and algebras, and related concepts.
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Projective dimension of a sub-ideal
Let $\mathbf{k}$ be a field, and let $S=\mathbf{k}[x_1,x_2,\ldots,x_n]$. Let $I\subset J$ be finitely generated monomial ideals in $S$. Is it true that the projective dimension of $I$ is either smalle …
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