Definition:Algebraic Substructure

Definition

Let $\left({S, \circ}\right)$ be an algebraic structure.

Let $T \subseteq S$.

Then $\left({T, \circ}\right)$ is an algebraic substructure of $\left({S, \circ}\right)$.

Also see

• Definition:Subgroup
• Definition:Submonoid
• Definition:Subsemigroup