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Homological dimensions of derived Hom complexes
Abstract
Let R be a commutative noetherian local ring and M and N be R-complexes with finitely generated homology. We prove that formulas for the homological dimensions of the derived Hom complex RHom(M,N), in terms of the homological dimensions of M and N, hold without the a priori assumptions on the dimensions of M or N present in classic results.
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BibTeX
@misc{christensen2026homological,
title = {{Homological dimensions of derived Hom complexes}},
author = {Lars Winther Christensen and Andrew J. Soto Levins},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28856},
eprint = {2608.28856},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28856},
}
RIS
TY - UNPB
TI - Homological dimensions of derived Hom complexes
AU - Lars Winther Christensen
AU - Andrew J. Soto Levins
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28856
UR - https://arxiv.org/abs/2608.28856
AB - Let R be a commutative noetherian local ring and M and N be R-complexes with finitely generated homology. We prove that formulas for the homological dimensions of the derived Hom complex RHom(M,N), in terms of the homological dimensions of M and N, hold without the a priori assumptions on the dimensions of M or N present in classic results.
ER -