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

4 votes
1 answer
657 views

$I,J$ are $p$-primary ideals, but $I+J$ is not

I asked this question on the stack exchange, and after no answers and the recommendation of someone else, I am posting it here on MO. I am looking for an example of two ideals $I$ and $J$ in a noether …
user194928's user avatar
2 votes

ideals linked to an almost complete intersection

Let $I=(x^3,y^3,z^3,xy^2,y^2z,x^2z^2)$. Then $I$ is grade $3$ and has type $3$. But $I$ is not licci (see "Liason of Monomial Ideals" by Huneke-Ulrich). But any grade 3 almost complete intersection is …
user194928's user avatar