2012/09/23 by Javier Majadas, Majadas, Javier
Mathematics · #13D03 #13D05 #13H05 #13H10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.1209.5051
openalex publication_date 2012/09/23 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
Regularity, complete intersection and Gorenstein properties of a local ring\ncan be characterized by homological conditions on the canonical homomorphism\ninto its residue field (Serre, Avramov, Auslander). It is also known that in\npositive characteristic, the Frobenius endomorphism can also be used for these\ncharacterizations (Kunz, ...), and more generally any contracting endomorphism.\nWe introduce here a class of local homomorphisms, in some sense larger than all\nabove, for which these characterizations still hold, providing an unified\ntreatment for this class of homomorphisms.\n