39 citations · 51 across the 4 of their papers we have counts for
4 papers
Tensor extriangulated categories
Raphael Bennett-Tennenhaus, Isambard Goodbody, Janina C. Letz +1
A tensor extriangulated category is an extriangulated category with a symmetric monoidal structure that is compatible with the extriangulated structure. To this end we define a not…
The category of extensions and idempotent completion
Raphael Bennett-Tennenhaus, Johanne Haugland, Mads Hustad Sandøy +1
Building on previous work, we study the splitting of idempotents in the category of extensions associated to a pair $(\mathcal{C},\math…
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…
Transport of structure in higher homological algebra
Raphael Bennett-Tennenhaus, Amit Shah
We fill a gap in the literature regarding `transport of structure' for (n+2)-angulated, n-exact, n-abelian and n-exangulated categories appearing in (classical and higher) homologi…