English

Belian categories

Number Theory 2017-09-04 v7 Algebraic Geometry

Abstract

We instal homological algebra, including derived functors, on certain non-additive categories like categories of pointed CW-complexes, modules of monoids or sheaves thereof. We apply this theory to Monoid schemes and sheaves on them, compare the result with the base change and prove several structural theorems.

Keywords

Cite

@article{arxiv.1105.5290,
  title  = {Belian categories},
  author = {Anton Deitmar},
  journal= {arXiv preprint arXiv:1105.5290},
  year   = {2017}
}
R2 v1 2026-06-21T18:13:04.386Z