7 papers
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…
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…
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…