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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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Length of $\text{Tor}$ modules in complete intersection rings with characteristic $p$
Let $(R,m)$ be a complete intersection ring with characteristic $p$. If $M$ is a finitely generated $R$-module with finite length i.e. $l(M)<\infty$, it follows that $l(F(M))\geq p^nl(M)$, where $n=\d …