Embeddings of a $p$-adic field and its residue field in their power series rings
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- by Nickolas Heerema
- Proc. Amer. Math. Soc. 14 (1963), 574-580
- DOI: https://doi.org/10.1090/S0002-9939-1963-0151487-0
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References
- I. S. Cohen, On the structure and ideal theory of complete local rings, Trans. Amer. Math. Soc. 59 (1946), 54–106. MR 16094, DOI 10.1090/S0002-9947-1946-0016094-3
- Nickolas Heerema, Derivations and embeddings of a field in its power series ring, Proc. Amer. Math. Soc. 11 (1960), 188–194. MR 123568, DOI 10.1090/S0002-9939-1960-0123568-6
- Nickolas Heerema, Derivations and embeddings of a field in its power series ring. II, Michigan Math. J. 8 (1961), 129–134. MR 136601
- Nickolas Heerema, Derivations on $p$-adic fields, Trans. Amer. Math. Soc. 102 (1962), 346–351. MR 143759, DOI 10.1090/S0002-9947-1962-0143759-4 O. F. G. Shilling, The theory of valuation, Math. Surveys, No. 4, Amer. Math. Soc., Providence, R. I., 1950.
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 574-580
- MSC: Primary 12.45; Secondary 13.93
- DOI: https://doi.org/10.1090/S0002-9939-1963-0151487-0
- MathSciNet review: 0151487