The Auslander-Reiten theory of the morphism category of projective modules
R Hafezi, J Wei - arXiv preprint arXiv:2307.10715, 2023 - arxiv.org
We investigate the structure of certain almost split sequences in $\mathcal {P}(\Lambda) $,
ie, the category of morphisms between projective modules over an Artin algebra $\Lambda …
ie, the category of morphisms between projective modules over an Artin algebra $\Lambda …
From Morphism Categories to Functor Categories
R Hafezi, H Eshraghi - arXiv preprint arXiv:2301.00534, 2023 - arxiv.org
For a nice-enough category $\mathcal {C} $, we construct both the morphism category ${\rm
H}(\mathcal {C}) $ of $\mathcal {C} $ and the category ${\rm mod}\mbox {-}\mathcal {C} $ of …
H}(\mathcal {C}) $ of $\mathcal {C} $ and the category ${\rm mod}\mbox {-}\mathcal {C} $ of …