Module
A mathematical object in which things can be added together Commutatively by multiplyingCoefficients and in which most of the rules of manipulating Vectors hold. Amodule is abstractly very similar to a Vector Space, although modules have Coefficients inmuch more general algebraic objects and use Rings as the Coefficients instead ofFields.
The additive submodule of the Integers is a set of quantities closed under Addition andSubtraction (although it is Sufficient to require closure under Subtraction). Numbers of the form
for 
form a module since,
Given two Integers
and 
, the smallest module containing and is 
.
References
Foote, D. and Dummit, D. Abstract Algebra. Englewood Cliffs, NJ: Prentice-Hall, 1990.
- Bloch Constant
- Bloch-Landau Constant
- Block
- Block Design
- Block Growth
- Block Matrix
- Block (Set)
- Blow-Up
- Blue-Empty Coloring
- Blue-Empty Graph
- Board
- Boatman's Knot
- Bochner Identity
- Bochner's Theorem
- Bode's Rule
- Bogdanov Map
- Bogomolov-Miyaoka-Yau Inequality
- Bohemian Dome
- Bohr-Favard Inequalities
- Bolyai-Gerwein Theorem
- Bolzano Theorem
- Bolzano-Weierstraß Theorem
- Bolza Problem
- Bombieri Inner Product
- Bombieri Norm