Convergent higher derivations on local rings
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- by Nickolas Heerema
- Trans. Amer. Math. Soc. 132 (1968), 31-44
- DOI: https://doi.org/10.1090/S0002-9947-1968-0223358-1
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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. 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
- Nickolas Heerema, Derivations and automorphisms of complete regular local rings, Amer. J. Math. 88 (1966), 33–42. MR 197500, DOI 10.2307/2373045
- Joseph Neggers, Derivations on $\bar p$-adic fields, Trans. Amer. Math. Soc. 115 (1965), 496–504. MR 197445, DOI 10.1090/S0002-9947-1965-0197445-8 H. Hasse and F. K. Schmidt, Noch eine Begründung der Theorie der höheren Differentialquotienten in einen algebraischen Funktionenkorper einer Unbestimmten, J. Reine Angew. Math. 177 (1937), 215-237. E. Wishart, Higher derivations on p-adic fields, Dissertation, Florida State Univ., Tallahassee, 1965.
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 132 (1968), 31-44
- MSC: Primary 13.95
- DOI: https://doi.org/10.1090/S0002-9947-1968-0223358-1
- MathSciNet review: 0223358