Ramin Ebrahimi

collaborators

4 papers

math.RT2026

On simples in a cosilting heart and mutation of cosilting pairs

Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei

Let $A$ be a finite dimensional algebra. The lattice of torsion pairs in $mod (A)$ is controlled by cosilting pairs, infinitely generated analogues of support $τ^{-}$ -tilting pai…

math.RT2026

Model structures arising from weak cotorsion pairs

Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei

Let $A$ be an abelian category. Beligiannis and Reiten proved that there is a bijective correspondence between so-called projective model structures on $A$ and…

math.RT2026

Revising Auslander-Gruson-Jensen duality

Ramin Ebrahimi, Rasool Hafezi, Jiaqun Wei

For a ring $A$ there is a well-known duality between definable subcategories of right $A$ -modules and definable subcategories of left $A$ modules. This is a consequence of Auslande…

math.CT2024

On definable subcategories

Ramin Ebrahimi

Let $X$ be a skeletally small additive category. Using the canonical equivalence between two different presentations of the free abelian category over $X$ , we g…