Embeddings Watch

super_baros
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#1
Report Thread starter 8 years ago
#1
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 \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?..:confused:
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