Local rings of embedding codepth at most 3 have only trivial semidualizing complexes
Commutative Algebra
2014-01-03 v1
Abstract
We prove that a local ring of embedding codepth at most 3 has at most two semidualizing complexes up to shift-isomorphism, namely, itself and a dualizing -complex if one exists.
Keywords
Cite
@article{arxiv.1401.0210,
title = {Local rings of embedding codepth at most 3 have only trivial semidualizing complexes},
author = {Saeed Nasseh and Sean Sather-Wagstaff},
journal= {arXiv preprint arXiv:1401.0210},
year = {2014}
}
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9 pages