What does the term "embedded" mean?
The place where this most commonly appears is with the Field of Quotients (Fractions) of an integral domain. And the result always says "And integral domain can be embedded to a field of quotients...", I know what the theorem is and everything I just do not understand what the phrase "embedded" means.
This is not the only time I saw the word "embedded" being used. But it is a popular term, it would help if I knew what I meant. I am thinking it is math slang, for example, "without lose of generality" is math slang. And am I begining to think that embedded is math slang.
The last time I looked at this, they did not have it.
It seems to me "embedding" means something is contained within something else. But not really contained (like a subset) but contained up to isomorphism. Hence we can view it as actually being contained.