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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
3
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Non-flat base change
Let $(R,\mathfrak{m},k,E)$ be a Noetherian local ring with $E$ an injective hull of $k$, let $M$ be a finitely generated $R$-module and $M^{\vee}=\mathrm{Hom}_{R}(M,E)$. Is there a non-flat $R$-algebr …
0
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Absolute integral closure of Noetherian local domain
Let $(R,\mathfrak{m})$ be a Noetherian local domain, let $K(R)$ be the total fraction field of $R$ and let $R^{+}$ be the absolute integral closure of $R$. Consider the $R^{+}$-module $K(R)\otimes_{R} …