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math.AC2014
Linkage of modules and the Serre conditions
Mohammad T. Dibaei, Arash Sadeghi
Let be semiperfect commutative Noetherian ring and be a semidualizing --module. The connection of the Serre condition on a horizontally linked -module of fini…
math.AC2014★ 22 cited
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…