Triangulated Structures for projective Modules

Details Triangulated Structures for projective Modules Triangulated Structures for projective Modules

2009-12-23

arxiv.org/abs/0912.4708v1

Mathematics

Category Theory

19 pages

Scientific paper

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.

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