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Results tagged with artin-ring
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user 2807
Questions about rings satisfying the descending chain condition on ideals.
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Artinian Gorenstein subrings with same socle degree
Let $A=k[x,y]/(x^2,y^2)$. If $\mathrm{char}(k)\neq 2$, then the
subalgebra generated by $x+y$ is Gorenstein with the same socle
degree. On the other hand, for any graded Artinian algebra $A$, any
nonz …
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