Category:Closed Algebraic Structures

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This category contains results about Closed Algebraic Structures.

Let $\struct {S, \circ}$ be an algebraic structure.


Then $S$ has the property of closure under $\circ$ if and only if:

$\forall \tuple {x, y} \in S \times S: x \circ y \in S$


$S$ is said to be closed under $\circ$, or just that $\struct {S, \circ}$ is closed.