Direct Limit

Direct Limit

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Description

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a direct limit (also called inductive limit) is a colimit of a "directed family of objects." We will first give the definition for algebraic structures like groups and modules, and then the general definition which can be used in any category. In this section objects are understood to be sets with a given algebraic structure such as groups, rings, modules (over a fixed ring), algebras (over a fixed field), etc. With this in mind, homomorphisms are understood in the corresponding setting (group homomorphisms, etc.). Start with the definition of a direct system of objects and homomorphisms. Let be a directed set.show more

Product details

  • Paperback | 128 pages
  • 152 x 229 x 8mm | 200g
  • Commun
  • United States
  • English
  • 6135769634
  • 9786135769630