module

Borrowed from French module, from Latin modulus (“a small measure, a measure, mode, meter”), diminutive of modus (“measure”) (whence mode). Doublet of mold.

• (Received Pronunciation) IPA^(key): /ˈmɒdjuːl/
• (General American) IPA^(key): /ˈmɑdʒuːl/

module (plural modules)

1. A self-contained component of a system, often interchangeable, which has a well-defined interface to the other components.
2. (architecture) A standard unit of measure used for determining the proportions of a building.
3. (computing) A section of a program; a subroutine or group of subroutines.
   • 2001, Phil Jones, Visual Basic: A Complete Course (page 254)

     Class modules are similar to form modules except they do not have a visible interface (GUI).

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.
   • 2011, Michael J. Tresca, The Evolution of Fantasy Role-Playing Games (page 81)

     Dragonborn […] first appeared in the Dragons of Despair module (1984) for Advanced Dungeons & Dragons as “dragonmen.”

6. (algebra, ring theory) An abelian group equipped with the operation of multiplication by an element of a ring (or another of certain algebraic objects), representing a generalisation of the concept of vector space with scalar multiplication.
   • 1974, Thomas W. Hungerford, Algebra, Springer, page 168,

     Modules over a ring are a generalization of abelian groups (which are modules over ${\displaystyle \textstyle \mathbb {Z} }$ ).

   • 2004, Robert R. Colby, Kent R. Fuller, Equivalence and Duality for Module Categories (with Tilting and Cotilting for Rings), Cambridge University Press, page vii,

     Approximately forty-five years ago K. Morita presented the first major results on equivalences and dualities between categories of modules over a pair of rings.

   • 2012, A. A. Kirillov, Elements of the Theory of Representations, Springer, page 29,

     One defines in like manner right K-modules and two-sided K-modules. If K is commutative, then every left K-module is automatically equipped with the structure of right and a two-sided K-module.

7. (fractal geometry, mathematics) A fractal element.
8. (music) 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.
10. (astronautics) An independent self-contained unit of a spacecraft.

• (abelian group equipped with multiplication by an element of a ring):
  • For a given ring R, one speaks of an "R-module" or, equivalently, of a "module over R". R is expected to be unital.
  • R may also be a Lie algebra.
  • If K is a field, "K-module" is identical to "K-vector space".
  • If the ring is not commutative, scalar multiplication of a module is defined as left- and/or right-multiplication, and one refers to a "left R-module" or a "right R-module".
  • The concept of module is closely connected to the representation theory of groups and is central to both commutative algebra and homological algebra. Modules are also widely used in algebraic geometry and algebraic topology.

• (algebraic structure, mathematics): vector space
• (astronautics): command module, lunar module

• mode
• model
• moderate

• module in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• module in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
• Module in the Encyclopædia Britannica (11th edition, 1911)

Borrowed from Latin modulus. Doublet of moule.

• IPA^(key): /mɔ.dyl/

module m (plural modules)

1. module

• “module” in le Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

module

1. vocative singular of modulus

module

1. Formal second-person singular (usted) imperative form of modular.
2. First-person singular (yo) present subjunctive form of modular.
3. Formal second-person singular (usted) present subjunctive form of modular.
4. Third-person singular (él, ella, also used with usted^?) present subjunctive form of modular.