2024/07/23 by Xiaolei Zhang, Zhang, Xiaolei
Mathematics · #Rings, Modules, and Algebras #Advanced Topics in Algebra #Algebraic Geometry and Number Theory
paper · pdf · doi:10.48550/arxiv.2407.16146
Let f:S→ R be a ring extension. We introduce and study the properties of (R, S)_⋆-injective modules and the existences of (R, S)_⋆-injective envelopes. Besides, we show that every R-module has an (R, S)-injective envelope when S is a pure-semisimple ring.