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Answer by Keith Kearnes for Non-field example of a commutative, local, dual...

There is no such ring.To lessen my typing, let me introduce some abbreviations.C = commutative,L = local,D = dual,K = Krull dimension greater than $0$,$A(I)$ := $\textrm{Ann}(I)$ for $I\lhd R$,N =...

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Non-field example of a commutative, local, dual ring with nilradical $N$ such...

I asked this question on math.stackexchange a month ago with no progress, even after a bounty. I hope to eliminate one if the other receives a satisfactory answer.For an ideal $I\lhd R$ in a...

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