2014/04/28 by Pedro A. Guil Asensio, Derya Keskı̇n Tütüncü, Asensio, Pedro A. Guil +4
Mathematics · #16D50 #16U60 #16W20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16D50 #msc:16U60 #msc:16W20
paper · pdf · doi:10.48550/arxiv.1404.7090
to appear in Israel Journal of Mathematics
arxiv created 2014/04/28 · openalex publication_date 2014/04/28 · arxiv updated 2014/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we develop a general theory of modules which are invariant under automorphisms of their covers and envelopes. When applied to specific cases like injective envelopes, pure-injective envelopes, cotorsion envelopes, projective covers, or flat covers, these results extend and provide a much more succinct and clear proofs for various results existing in the literature. Our results are based on several key observations on the additive unit structure of von Neumann regular rings.