3 citations · 5 across the 11 of their papers we have counts for
11 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…
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…
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…
Phantom stable category of -Frobenius categories
Abdolnaser Bahlekeh, Fahimeh Sadat Fotouhi, Shokrollah Salarian +1
Let be a non-negative integer. An exact category $\C$ is said to be an -Frobenius category, provided that it has enough -projectives and -injectives and the -projec…
Specifying The Auslander transpose in submodule category and its applications
Abdolnaser Bahlekeh, Ali Mahin Fallah, Shokrollah Salarian
Let $(R, \m)$ be a -dimensional commutative noetherian local ring. Let $\M$ denote the morphism category of finitely generated -modules and let $\Sc$ be the submodule categor…
Representation-theoretic properties of balanced big Cohen-Macaulay modules
Abdolnaser Bahlekeh, Fahimeh Sadat Fotouhi, Shokrollah Salarian
Let $(R, \m, k)$ be a complete Cohen-Macaulay local ring. In this paper, we assign a numerical invariant, for any balanced big Cohen-Macaulay module, called $\uh$-length. Among oth…
Annihilation of cohomology, generation of modules and finiteness of derived dimension
Abdolnaser Bahlekeh, Ehsan Hakimian, Shokrollah Salarian +1
Let $(R,\m,k)$ be a commutative noetherian local ring of Krull dimension . We prove that the cohomology annihilator $\ca(R)$ of is $\m$-primary if and only if for some $n\ge…