Semiring
A semiring is a set together with two Binary Operators 
satisfying the following conditions:
- 1. Additive associativity: For all
, 
, - 2. Additive commutativity: For all
, 
, - 3. Multiplicative associativity: For all ,
, - 4. Left and right distributivity: For all ,
and 
.
References
Rosenfeld, A. An Introduction to Algebraic Structures. New York: Holden-Day, 1968.
- Hardy's Inequality
- Hardy's Rule
- Harmonic Addition Theorem
- Harmonic Analysis
- Harmonic Brick
- Harmonic Conjugate Function
- Harmonic Conjugate Points
- Harmonic Coordinates
- Harmonic Decomposition
- Harmonic Divisor Number
- Harmonic Equation
- Harmonic Function
- Harmonic-Geometric Mean
- Harmonic Homology
- Harmonic Logarithm
- Harmonic Map
- Harmonic Mean
- Harmonic Mean Index
- Harmonic Number
- Harmonic Progression
- Harmonic Range
- Harmonic Ratio
- Harmonic Segment
- Harmonic Series
- Harmonic System of Points