A ringoid is a set 
with two binary operators, conventionally denoted addition (
) and multiplication (
), where 
distributes over 
left and right:
 |
and
 |
A ringoid can be empty.
Ringoid
See also
Binary Operator, Ring, SemiringExplore with Wolfram|Alpha
References
Rosenfeld, A. An Introduction to Algebraic Structures. New York: Holden-Day, 1968.Referenced on Wolfram|Alpha
RingoidCite this as:
Weisstein, Eric W. "Ringoid." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Ringoid.html