Hi all,

Could somebody help me try and understand the idea of an "embedding" please?

I can understand field embeddings, since the properties (addition and multiplication) between two fields will be the same and it's easy to see it from examples like $\displaystyle \mathbb{Q} \subset \mathbb{R} \subset \mathbb{C} $

But I don't quite understand embedding 'rings into fields' and 'groups into fields'..

How are the properties of a field "lost" in those embeddings?..