1 citations · 1 across the 4 of their papers we have counts for
4 papers
Adequate complete intersection homomorphisms
Samuel Alvite, Javier Majadas
We study three classes of local homomorphisms and their behavior with respect to the ascent and descent of the \emph{complete intersection} property. Crucially, they fall in betwee…
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…
On a theorem of Gulliksen on the homology of local rings
Samuel Alvite, Nerea G. Barral, Javier Majadas
We show that a modification of the proof of a result of Gulliksen gives an elementary proof of the following important theorem by Avramov: if is a homomorphism of…
Formally regular rings and descent of regularity
Samuel Alvite, Nerea G. Barral, Javier Majadas
Valuation rings and perfectoid rings are examples of (usually non-noetherian) rings that behave in some sense like regular rings. We give and study an extension of the concept of r…