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Alex
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6
If Serre's intersection multiplicity $\chi(R/I, R/J)$ equals $\operatorname{length}_R (R/(I+J))$, then are $R/I, R/J$ Cohen-Macaulay?
6
When can we choose non-zero-divisor $x\in \mathfrak m$ in a reduced local ring $(R,\mathfrak m)$ such that $R/xR$ is also reduced?
5
On free direct summand locus of finitely generated modules over commutative Noetherian rings
5
On a possible isomorphism from a spectral sequence coming from derived tensor-hom adjunction