Geodesic
A Note on Quotient Fields of Power Series Rings
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 162-164

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DOI

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 integrally closed domain or Noetherian domain R.
DOI : 10.4153/CMB-1994-023-7
Mots-clés : 13F25, 12F05, 13B22, power series ring, quotient field, algebraic degree, completely integrally closed, Noetherian 
Chu, Huah; Lang, Yi-Chuan. A Note on Quotient Fields of Power Series Rings. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 162-164. doi: 10.4153/CMB-1994-023-7
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     title = {A {Note} on {Quotient} {Fields} of {Power} {Series} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {162--164},
     year = {1994},
     volume = {37},
     number = {2},
     doi = {10.4153/CMB-1994-023-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-023-7/}
}
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