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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

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Flatness and regular sequences

I think this does not hold in general. My example is based on the fact that a permutation of a regular sequence need not be regular in general: If $M$ is a flat $k[x_1,x_2, x_3]$-module then any pe …
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