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Ringoid


A ringoid is a set R with two binary operators, conventionally denoted addition (+) and multiplication (×), where × distributes over + left and right:

 a(b+c)=ab+ac

and

 (b+c)a=ba+ca.

A ringoid can be empty.


See also

Binary Operator, Ring, Semiring

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References

Rosenfeld, A. An Introduction to Algebraic Structures. New York: Holden-Day, 1968.

Referenced on Wolfram|Alpha

Ringoid

Cite this as:

Weisstein, Eric W. "Ringoid." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Ringoid.html

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