22 citations · 46 across the 9 of their papers we have counts for
10 papers
Characteristic modules over a local ring
Mohsen Gheibi, Ryo Takahashi
Let be a commutative noetherian local ring, and let be a finitely generated -module. Inspired by works of Vasconcelos and Briggs on characterization of complete intersec…
Numerical aspects of complexes of finite homological dimensions
Majid Rahro Zargar, Mohsen Gheibi
Let $(R,\fm)$ be a local ring, and let be a semidualizing complex. We establish the equality $r_R(Z) = ν(\Ext^{g-\inf C}_R(Z,C))μ^{\depth C}_R(\mathfrak{m}, C)$ for a homologic…
Quasi-projective dimension
Mohsen Gheibi, David A. Jorgensen, Ryo Takahashi
In this paper, we introduce a new homological invariant called quasi-projective dimension, which is a generalization of projective dimension. We discuss various properties of quasi…
Some criteria for detecting large homomorphisms of local rings
Mohsen Gheibi, Ryo Takahashi
We study ideals in a local ring whose quotient rings induce large homomorphisms of local rings. We characterize such ideals over complete intersections, Koszul rings, and over…
Totally Reflexive Modules and Poincaré Series
Mohsen Gheibi, Ryo Takahashi
We study Cohen-Macaulay non-Gorenstein local rings admitting certain totally reflexive modules. More precisely, we give a description of the Poincaré series of…
Associated Primes and Syzygies of Linked Modules
Olgur Celikbas, Mohammad T. Dibaei, Mohsen Gheibi +2
Motivated by the notion of geometrically linked ideals, we show that over a Gorenstein local ring , if a Cohen-Macaulay -module of grade is linked to an -module $N…
Homological dimensions of rigid modules
Olgur Celikbas, Mohsen Gheibi, Majid Rahro Zargar +1
We obtain various characterizations of commutative Noetherian local rings $(R, \fm)$ in terms of homological dimensions of certain finitely generated modules. For example, we estab…
Brauer-Thrall for totally reflexive modules over local rings of higher dimension
Olgur Celikbas, Mohsen Gheibi, Ryo Takahashi
Let be a commutative Noetherian local ring. Assume that has a pair of exact zerodivisors such that and all totally reflexive -modules ar…
Sequence of Exact Zero-Divisors
Mohammad T. Dibaei, Mohsen Gheibi
The concept of a sequence of exact zero-divisors on a noetherian local ring is defined and studied. Some properties of sequences of exact zero-divisors are compared with regular se…
Linkage of modules over Cohen-Macaulay rings
Mohammad T. Dibaei, Mohsen Gheibi, S. H. Hassanzadeh +1
Inspired by the works in linkage theory of ideals, the concept of sliding depth of extension modules is defined to prove the Cohen-Macaulyness of linked module if the base ring is…