3 citations · 3 across the 6 of their papers we have counts for
9 papers
On the natural transformations of extension functors
Abdolnaser Bahlekeh, Shokrollah Salarian
Assume that $\C$ is an exact category. This paper is concerned with the natural transformations between extension functors on $\C$. The first main result indicates that if $\C$ has…
On the vanishing of Ext and Tor
Abdolnaser Bahlekeh, Shokrollah Salarian
This paper contains two theorems concerning the vanishing of natural transformations of (co)homology functors. Precisely, assume that is a right noetherian ring and $f: M\rt N$…
phantom stable categories of -Frobenius categories are triangulated
Abdolnaser Bahlekeh, Fahimeh Sadat Fotouhi, Shokrollah Salarian +1
Let be a non-negative integer. Motivated by the universal property of the stable category of Frobenius categories, the authors in \cite{bfss} generalized the stabilization of F…
The stable category of monomorphisms between (Gorenstein) projective modules with applications
Abdolnaser Bahlekeh, Fahimeh Sadat Fotouhi, Mohammad Amin Hamlehdari +1
Let (S; n) be a commutative noetherian local ring and let w in n be non-zero divisor. This paper is concerned with the two categories of monomorphisms between finitely generated (G…
G-semisimple algebras
Rasool Hafezi, Abdolnaser Bahlekeh
Let be an Artin algebra and ${\mathsf{mod}}\mbox{-} ({\underline{\mathsf{Gprj}}}\mbox{-}Λ)$ the category of finitely presented functors over the stable category ${\underline{\m…
The monomorphism category of Gorenstein projective modules and comparision with the category of matrix factorization
Abdolnaser Bahlekeh, Fahimeh Sadat Fotouhi, Armin Nateghi +1
Let ( be a commutative noetherian local ring and let be non-zero divisor. This paper is concerned with the category of monomorphisms between fi…