Category:Subsemigroups

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This category contains results about Subsemigroups.


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

Let $T \subseteq S$ such that $\struct {T, \circ {\restriction_T} }$, where $\circ {\restriction_T}$ is the restriction of $\circ$ to $T$, is a semigroup.


Then $\struct {T, \circ {\restriction_T} }$ is a subsemigroup of $S$.