Category:Zero Elements

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This category contains results about Zero Elements in the context of Abstract Algebra.
Definitions specific to this category can be found in Definitions/Zero Elements.


An element $z \in S$ is called a two-sided zero element (or simply zero element or zero) if and only if it is both a left zero and a right zero:

$\forall x \in S: x \circ z = z = z \circ x$