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Cotorsion Classes in Higher Homological Algebra

Representation Theory 2020-10-08 v1

Abstract

In this note, the notion of cotorsion classes is introduced into the higher homological algebra. Our results motivate the definition, showing that this notion of nn-cotorsion classes satisfies usual properties one could expect. In particular, a higher version of Wakamatsu's Lemma is proved. Connections with wide subcategories are also studied.

Keywords

Cite

@article{arxiv.2010.03423,
  title  = {Cotorsion Classes in Higher Homological Algebra},
  author = {Javad Asadollahi and Azadeh Mehregan and Somayeh Sadeghi},
  journal= {arXiv preprint arXiv:2010.03423},
  year   = {2020}
}

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R2 v1 2026-06-23T19:07:53.819Z