Definition:Algebraic System

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Definition

An algebraic system is a mathematical system $\mathcal S = \struct {E, O}$ where:

$E$ is a non-empty set of elements
$O$ is a set of finitary operations on $E$.


Also known as

Some sources refer to such an object as an algebra, but the general consensus is to reserve the term algebra for a slightly more refined concept.


Also see


Sources