2009/12/23 by Boryana Dimitrova, Dimitrova, Boryana
Mathematics · #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.0912.4708
openalex publication_date 2009/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.