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every integral domain can be embedded in a


Nandu 7th Oct, 2020
Answers (2)
Deepika Student Expert 7th Oct, 2020

hello,

Every integral domain can be embedded in a field  That is, using concepts from set theory, given an arbitrary integral domain (such as the integers), one can construct a field that contains a subset isomorphic to the integral domain. Such a field is called the field of fractions of the given integral domain.

Aman Ghatiya 7th Oct, 2020

Hello
Nandu
, Every integral domain can be embedded in a field (see proof below). That is, using concepts from set theory, given an arbitrary integral domain (such as the integers), one can construct a field that contains a subset isomorphic to the integral domain.

Hope it will be helpful for you :)

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