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math.AC2024
A ring of cohomological operators on Ext and Tor
Samuel Alvite, Javier Majadas
Let be a surjective homomorphism of rings with kernel . Gulliksen (when is generated by a regular sequence) and later Mehta (in general) showed that for a…
math.AC2012
Dualizing complexes and homomorphisms vanishing in Koszul homology
Javier Majadas
Let C be a semidualizing complex over a noetherian local ring A. If there exists a local homomorphism with source A satisfying some homological properties, then C is dualizing.
math.AC2012
On test modules for flat dimension
Javier Majadas
A ring with a test module of finite upper complete intersection dimension is complete intersection.
math.AC2012
Some homological criteria for regular, complete intersection and Gorenstein rings
Javier Majadas
Regularity, complete intersection and Gorenstein properties of a local ring can be characterized by homological conditions on the canonical homomorphism into its residue field (Ser…