cid 047b13e638be9161a1e59cc65d903215d2fdd0030d554ca7843ea9e7f442a779 · original · open access · via wikipedia
Title: Dense submodule Authors: Venue: Wikipedia Year: unknown Canonical: wiki:dense-submodule URL: https://en.wikipedia.org/wiki/Dense_submodule Collector: wikipedia OA: true ABSTRACT In abstract algebra, specifically in module theory, a dense submodule of a module is a refinement of the notion of an essential submodule. If N is a dense submodule of M, it may alternatively be said that "N ⊆ M is a rational extension". Dense submodules are connected with rings of quotients in noncommutative ring theory. Most of the results appearing here were first established in, and.