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math.AC2019★ 7 cited
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…
math.AC2019
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…