Ring
In mathematics, a ring is an Abelian group together with a rule for multiplying its elements.
Ring is a college-level concept that would be first encountered in an abstract algebra course covering rings and fields.
Examples
| Complex Number: |
A complex number is a number consisting of a real part and an imaginary part. A complex number is an element of the complex plane. |
| Gaussian Integer: |
A Gaussian integer is a complex number a + b i, where a and b are integers and i is the imaginary unit. |
| Integer: |
An integer is one of the numbers ..., -2, -1, 0, 1, 2, .... |
| Quaternion: |
A quaternion is a member of a four-dimensional noncommutative division algebra (i.e., a ring in which every nonzero element has a multiplicative inverse, but multiplication is not necessarily commutative) over the real numbers. |
| Real Number: |
A real number is a number corresponding to a point on the real number line. |
Prerequisites
| Abelian Group: |
An Abelian group is a group for which the binary operation is commutative. |
Classroom Articles on Rings and Fields
Classroom Articles on Abstract Algebra (Up to College Level)
