3 citations · 5 across the 11 of their papers we have counts for
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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…
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…