# Category:Subsemigroups

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 $S$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Subsemigroups"

The following 12 pages are in this category, out of 12 total.