4 citations · 11 across the 10 of their papers we have counts for
10 papers
On exact functors for Heller triangulated categories
Matthias Kuenzer
We show certain standard constructions of the theory of Verdier triangulated categories to be valid in the Heller triangulated framework as well; viz. Karoubi hull, exactness of ad…
On adjoint functors of the Heller operator
Matthias Kuenzer
Given an abelian category A with enough projectives, we can form its stable category _A_ := A/Proj(A)$. The Heller operator Omega : _A_ -> _A_ is characterised on an object X by a…
Nonisomorphic Verdier octahedra on the same base
Matthias Kuenzer
We show by an example that in a Verdier triangulated category, there may exist two mutually nonisomorphic Verdier octahedra containing the same commutative triangle.
Comparison of spectral sequences involving bifunctors
Matthias Kuenzer
Suppose given functors A x A' -F-> B -G-> C between abelian categories, an object X in A and an object X' in A' such that certain conditions hold. We show that, E_1-terms exempt, t…
On lifting stable diagrams in Frobenius categories
Matthias Kuenzer
Suppose given a Frobenius category E, i.e. an exact category with a big enough subcategory B of bijectives. Let_E_ := E/B denote its classical stable category. For example, we may…
Heller triangulated categories
Matthias Kuenzer
Let E be a Frobenius category, let_E_ denote its stable category. The shift functor on_E_ induces a first shift functor on the category of acyclic complexes with entries in_E_ by p…