Category:Definitions/Homomorphisms
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This category contains definitions related to Homomorphisms in the context of Abstract Algebra.
Related results can be found in Category:Homomorphisms.
Let $\struct {S, \circ}$ and $\struct {T, *}$ be magmas.
Let $\phi: \struct {S, \circ} \to \struct {T, *}$ be a mapping from $\struct {S, \circ}$ to $\struct {T, *}$.
Let $\circ$ have the morphism property under $\phi$, that is:
- $\forall x, y \in S: \map \phi {x \circ y} = \map \phi x * \map \phi y$
Then $\phi$ is a homomorphism.
Subcategories
This category has the following 8 subcategories, out of 8 total.
Pages in category "Definitions/Homomorphisms"
The following 9 pages are in this category, out of 9 total.