English

Triangulated Structures for projective Modules

Category Theory 2009-12-24 v1 Rings and Algebras

Abstract

We give a characterisation of those local not necessary commutative rings, for which the category of projective modules admits a triangulation with the identity as translation functor. By "admits a triangulation" we mean that the category can be given the structure of a triangulated category that satisfies the standard set of axioms including the octahedral axiom.

Keywords

Cite

@article{arxiv.0912.4708,
  title  = {Triangulated Structures for projective Modules},
  author = {Boryana Dimitrova},
  journal= {arXiv preprint arXiv:0912.4708},
  year   = {2009}
}

Comments

19 pages

R2 v1 2026-06-21T14:27:54.520Z