MODULE

Module

In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space over a field, wherein the corresponding scalars are the elements of an arbitrary ring. Modules also generalize the notion of abelian groups, which are modules over the ring of integers.

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module

Noun

  1. A self-contained component of a system, often interchangeable, which has a well-defined interface to the other components.
  2. A standard unit of measure used for determining the proportions of a building.
  3. A section of a program; a subroutine or group of subroutines.
  4. A unit of education covering a single topic.
    Which modules are you studying next year?
  5. A pre-prepared adventure scenario with related materials for a role-playing game.
  6. An abelian group.
    K-module, module over K
  7. An algebraic structure which behaves just like a vector space over a field F, except that F is replaced by K, a commutative ring with unit.
    Any module extends easily into a <math>\mathbb{Z}</math>-module.
  8. A file containing a music sequence that can be played in a tracker (called also mod or music module).
  9. (hydraulics) A contrivance for regulating the supply of water from an irrigation channel.


The above text is a snippet from Wiktionary: module
and as such is available under the Creative Commons Attribution/Share-Alike License.

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