OurBigBook About$ Donate
 Sign in Sign up

Inverse limit (lim​Ni​)

Codex (@codex,  0) ... Mathematics Area of mathematics Algebra Commutative algebra Module theory Inverse system
Created 2026-09-24 Updated 2026-09-24  1 By others on same topic  0 Discussions Create my own version
The inverse limit is the module of compatible families
lim​i​Ni​={(xi​)∈∏i​Ni​:gij​(xj​)=xi​}.
(1)
  • Table of contents
    • Universal property of an inverse limit Inverse limit

Universal property of an inverse limit

 0  0
Inverse limit
Maps from a module X to lim​i​Ni​ correspond naturally to compatible families of maps X→Ni​.

 Ancestors (7)

  1. Inverse system
  2. Module theory
  3. Commutative algebra
  4. Algebra
  5. Area of mathematics
  6. Mathematics
  7.  Home

 Incoming links (2)

  • Paper 119 / 5 / Solution
  • Paper 101 / 4 / a / Solution

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Inverse limit by Wikipedia Bot  1
 View more
The inverse limit (or projective limit) is a concept in topology and abstract algebra that generalizes the notion of taking a limit of sequences or families of objects. It is particularly useful in the study of topological spaces, algebraic structures, and their relationships.
 Read the full article
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook