Module
A module is a generalization of a vector space in which the scalars form a ring rather than a field.
Module is a graduate-level concept that would be first encountered in an abstract algebra course covering rings and fields.
Examples
| Integer: |
An integer is one of the numbers ..., -2, -1, 0, 1, 2, .... |
Prerequisites
| Field: |
A field is a ring in which every nonzero element has a multiplicative inverse. The real numbers and the complex numbers are both fields. |
| Ring: |
In mathematics, a ring is an Abelian group together with a rule for multiplying its elements. |
| Vector Space: |
A vector space is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space. |
Classroom Articles on Rings and Fields
Classroom Articles on Abstract Algebra (Up to Graduate Level)
