2025/12/22 by Pınar Aydoğdu, Aydoğdu, Pınar, Dolors Herbera +1
Computer Science · Mathematics · #16D40 #16E99 #Advanced Algebra and Logic #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · doi:10.48550/arxiv.2512.19813
openalex publication_date 2025/12/22 · openalex created_date 2025/12/25 · openalex updated_date 2026/07/28
We construct a family of semiprimitive and non von Neumann regular rings satisfying that any right or left module is isomorphic to a quotient of its flat cover (in the sense of Enochs) by a small submodule. This answers in the negative a question posed by A.~Amini, B.~Amini, M.~Ershad and H.~Sharif (2007).