= Isomorphism
{wiki}
= Isomorphic
{synonym}
Something analogous to a <group isomorphism>, but that preserves whatever properties the given algebraic object has. E.g. for a <field (mathematics)>, we also have to preserve multiplication in addition to addition.
Other common examples include isomorphisms of <vector spaces> and <field (mathematics)>. But since both of those two are much simpler than groups in <classification (mathematics)>, as they are both determined by number of elements/dimension alone, see:
* <classification of finite fields>
* <all vector spaces of the same dimension on a given field are isomorphic>
we tend to not talk about isomorphisms so much in those contexts.
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