# Category:Definitions/Morphism Property

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This category contains definitions related to Morphism Property.

Related results can be found in **Category:Morphism Property**.

Let $\phi: \struct {S, \circ} \to \struct {T, *}$ be a mapping from one algebraic structure $\struct {S, \circ}$ to another $\struct {T, *}$.

Then $\circ$ has the **morphism property** under $\phi$ if and only if:

- $\forall x, y \in S: \map \phi {x \circ y} = \map \phi x * \map \phi y$

## Pages in category "Definitions/Morphism Property"

The following 3 pages are in this category, out of 3 total.