Question: here are notes from a university : If S is an integral domain and R S, then R is an integral domain. In particular, a

here are notes from a university : If S is an integral domain and R S, then R is an integral domain. In particular, a subring of a field is an integral domain. (Note that, if R S and 1 6= 0 in S, then 1 6= 0 in R.) Examples: any subring of R or C is an integral domain. Thus for example Z[ 2], Q( 2) are integral domains

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