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math.AC2022
Some characterizations of local rings via reducing dimensions
Olgur Celikbas, Souvik Dey, Toshinori Kobayashi +1
In this paper we study homological dimensions of finitely generated modules over commutative Noetherian local rings, called reducing homological dimensions. We obtain new character…
math.AC2022
Remarks on a conjecture of Huneke and Wiegand and the vanishing of (co)homology
Olgur Celikbas, Uyen Le, Hiroki Matsui +1
In this paper we study a long-standing conjecture of Huneke and Wiegand which is concerned with the torsion submodule of certain tensor products of modules over one-dimensional loc…