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 …
Determination of some almost split sequences in morphism categories
R Hafezi, H Eshraghi - Journal of Algebra, 2023 - Elsevier
Almost split sequences lie in the heart of Auslander-Reiten theory. This paper deals with the
structure of almost split sequences with certain ending terms in the morphism category of an …
structure of almost split sequences with certain ending terms in the morphism category of an …
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 …
Representation dimension of generalized path algebras of cyclic quivers
H Eshraghi - Communications in Algebra, 2017 - Taylor & Francis
Let Λ be a non semisimple symmetric artin algebra over a commutative artinian ring R and
let repdim (Λ) be its representation dimension. Assume also that 𝒬 is a finite quiver whose …
let repdim (Λ) be its representation dimension. Assume also that 𝒬 is a finite quiver whose …