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

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Existence of non-zero pseudo-null submodules

The `$\Rightarrow$'-part is not true anymore if $d > 1$. To give a counterexample, consider the maximal ideal $\mathfrak{m} = (p, T_1, \dots, T_d)$ of $\Lambda_d$. Clearly, $\mathfrak{m}^\circ = 0$ si …
Dominik Bullach's user avatar