A Note on Quotient Fields of Power Series Rings
A Note on Quotient Fields of Power Series Rings
Abstract Let R be an integral domain with quotient field K . If R has an overling S ≠ K , such that S[X] is integrally closed, then the "algebraic degree" of K (( X )) over the quotient field of R[X] is infinite. In particular, it holds for completely …