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Local rings of embedding codepth at most 3 have only trivial semidualizing complexes

Published 31 Dec 2013 in math.AC | (1401.0210v1)

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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