# Category:Ordered Semigroup Isomorphisms

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This category contains results about **Ordered Semigroup Isomorphisms**.

Let $\struct {S, \circ, \preceq}$ and $\struct {T, *, \preccurlyeq}$ be ordered semigroups.

An **ordered semigroup isomorphism** from $\struct {S, \circ, \preceq}$ to $\struct {T, *, \preccurlyeq}$ is a mapping $\phi: S \to T$ that is both:

- $(1): \quad$ A semigroup isomorphism from the semigroup $\struct {S, \circ}$ to the semigroup $\struct {T, *}$

- $(2): \quad$ An order isomorphism from the ordered set $\struct {S, \preceq}$ to the ordered set $\struct {T, \preccurlyeq}$.

## Pages in category "Ordered Semigroup Isomorphisms"

The following 5 pages are in this category, out of 5 total.