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math.CT2025
Gorenstein categories relative to G-admissible triples
Sergio Estrada, Octavio Mendoza, Marco A. Pérez
We present the notion of Gorenstein categories relative to G-admissible triples. This is a relativization of the concept of Gorenstein category (an abelian category with enough pro…
math.CT2024
Powers of ghost ideals
S. Estrada, X. H. Fu, I. Herzog +1
A theory of ordinal powers of the ideal of -ghost morphisms is developed by introducing for every ordinal , the -th inductive powe…
math.CT2024
Transfer of homological objects in exact categories via adjoint triples. Applications to functor categories
Sergio Estrada, Manuel Cortés-Izurdiaga, Sinem Odabasi
For a given family of adjoint triples between exact categories or , we show that any cotorsio…