Local rings of embedding codepth at most 3 have only trivial semidualizing complexes
classification
🧮 math.AC
keywords
codepthcomplexesembeddinglocalsemidualizingcomplexdualizingexists
read the original abstract
We prove that a local ring $R$ of embedding codepth at most 3 has at most two semidualizing complexes up to shift-isomorphism, namely, $R$ itself and a dualizing $R$-complex if one exists.
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