3 citations · 6 across the 14 of their papers we have counts for
15 papers
On the natural transformations of extension functors
Abdolnaser Bahlekeh, Shokrollah Salarian
Assume that is a non-negative integer and $\C$ an -Frobenius category. This paper is concerned with the natural transformations between extension functors on $\C$. The main…
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…
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…
The homotopy category of monomorphisms between projective modules
Abdolnaser Bahlekeh, Fahimeh Sadat Fotouhi, Armin Nateghi +1
Let $(S, \n)$ be a commutative noetherian local ring and $ω\in\n$ be non-zerodivisor. This paper deals with the behavior of the category $\mon(ω, \cp)$ consisting of all monomorphi…