Everything About ___
Live briefing

Everything about Dense submodule

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. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Dense submoduleA 5-minute orientation
  2. Read the landmark paper: Vector spaces with a dense-codense generic submoduleCited 0 times
  3. Go sideways: Injective hullA closely related topic
  4. Go sideways: Singular submoduleA closely related topic

đź“– Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Definition
  2. Properties
  3. Examples
  4. Applications

🏆 Landmark papers (most cited)

📚 Books worth reading

Open Library didn't respond; try again in a moment.

đź”— Related topics