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Simple Ring


A nonzero ring S whose only (two-sided) ideals are S itself and zero. Every commutative simple ring is a field. Every simple ring is a prime ring.


See also

Field, Ideal, Prime Ring, Ring

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Cite this as:

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

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