Endomorphism rings of modules whose cardinality is cofinal to omega
Abstract
The main result is Theorem: Let A be an R-algebra, mu, lambda be cardinals such that |A|<=mu=mualeph0<lambda<=2mu. If A is aleph0-cotorsion-free or A is countably free, respectively, then there exists an aleph0-cotorsion-free or a separable (reduced, torsion-free) R-module G respectively of cardinality |G|=lambda with EndRG=A oplus Fin G.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.