English

Homotopy types of truncated projective resolutions

Rings and Algebras 2023-12-22 v2

Abstract

We work over an arbitrary ring R. Given two truncated projective resolutions of equal length for the same module we consider their underlying chain complexes. We show they may be stabilized by projective modules to obtain a pair of complexes of the same homotopy type.

Keywords

Cite

@article{arxiv.2308.11871,
  title  = {Homotopy types of truncated projective resolutions},
  author = {Wajid Mannan},
  journal= {arXiv preprint arXiv:2308.11871},
  year   = {2023}
}

Comments

Paper, published in peer-reviewed journal in 2007