39 citations · 109 across the 13 of their papers we have counts for
5 papers · 1 filter
Krull-Remak-Schmidt decompositions in Hom-finite additive categories
Amit Shah
An additive category in which each object has a Krull-Remak-Schmidt decomposition -- that is, a finite direct sum decomposition consisting of objects with local endomorphism rings…
Stratifying systems and Jordan-Hölder extriangulated categories
Thomas Brüstle, Souheila Hassoun, Amit Shah +1
Stratifying systems, which have been defined for module, triangulated and exact categories previously, were developed to produce examples of standardly stratified algebras. A strat…
Idempotent completions of -exangulated categories
Carlo Klapproth, Dixy Msapato, Amit Shah
Suppose is an -exangulated category. We show that the idempotent completion and the weak idempotent completion of are again…
The category of extensions and a characterisation of -exangulated functors
Raphael Bennett-Tennenhaus, Johanne Haugland, Mads Hustad Sandøy +1
Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of…
The index with respect to a rigid subcategory of a triangulated category
Peter Jørgensen, Amit Shah
Palu defined the index with respect to a cluster tilting object in a suitable triangulated category, in order to better understand the Caldero-Chapoton map that exhibits the connec…