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Zero Ideal


The subset {0} of a ring. It trivially fulfils the definition of ideal since it is a group (specifically, the zero group), and it is closed under multiplication by any element of the ring.


See also

Ideal, Proper Ideal, Trivial Ring, Zero Group, Zero Module

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Zero Ideal." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ZeroIdeal.html

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