5 papers
On injective dimension of the conormal module
Mohsen Gheibi, Kaito Kimura
Let be a Gorenstein local ring, let be a proper ideal of , and set . We investigate when finite injective dimension of the conormal module forces to b…
Complete intersection and quasi-homological dimensions
Souvik Dey, Luigi Ferraro, Mohsen Gheibi
We prove that, over a commutative Noetherian ring, every finitely generated module of finite complete intersection dimension has finite quasi-projective dimension. Our proof adapts…
Quasi-homological dimensions with respect to semidualizing modules
Souvik Dey, Luigi Ferraro, Mohsen Gheibi
Gheibi, Jorgensen and Takahashi recently introduced the quasi-projective dimension of a module over commutative Noetherian rings, a homological invariant extending the classic proj…
Quasi-injective dimension
Mohsen Gheibi
Following our previous work about quasi-projective dimension, in this paper, we introduce quasi-injective dimension as a generalization of injective dimension. We recover several w…
The homotopy Lie algebra of a Tor-independent tensor product
Luigi Ferraro, Mohsen Gheibi, David A. Jorgensen +2
In this article we investigate a pair of surjective local ring maps and their relation to the canonical projection , where …