Generalised reduced modules
Abstract
Let R be a commutative unital ring, a∈ R and t a positive integer. at-reduced R-modules and universally at-reduced R-modules are defined and their properties given. Known (resp. new) results about reduced R-modules are retrieved (resp. obtained) by taking t=1 and results about reduced rings are deduced.
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.