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math.AC2024
A relative homology criterion of smoothness
Kostiantyn Iusenko, Eduardo do Nascimento Marcos, Victor do Valle Pretti
We investigate the relationship between smoothness and the relative global dimension of a ring extension. We prove that a smooth commutative algebra over has finite relativ…
math.RA2024
On the first -tilting Hochschild cohomology of an algebra
Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos +1
In this paper we introduce, according to one of the main ideas of -tilting theory, the -Hochschild cohomology in degree one of a finite dimensional -algebra , where …