Homological dimensions of derived Hom complexes

Lars Winther Christensen; Andrew J. Soto Levins

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arXiv · 2608.28856

Homological dimensions of derived Hom complexes

Lars Winther Christensen·Andrew J. Soto Levins

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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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Lars Winther Christensen, Andrew J. Soto Levins. 2026-08-28. Homological dimensions of derived Hom complexes. https://arxiv.org/abs/2608.28856

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