2020/08/27 by Jiangsheng Hu, Huanhuan Li, Hu, Jiangsheng +5
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2008.12174
openalex publication_date 2020/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish relations between Gorenstein projective precovers linked by Frobenius functors. This is motivated by an open problem that how to find general classes of rings for which modules have Gorenstein projective precovers. It is shown that if F:\C→\D is a separable Frobenius functor between abelian categories with enough projective objects, then every object in \C has a Gorenstein projective precover provided that every object in \D has a Gorenstein projective precover. This result is applied to separable Frobenius extensions and excellent extensions.