Modular Fields

Bibliography

• Albert, A. A., [1] Modern Higher Algebra, Chicago, 1937. [2] Structure of Algebras, American Mathematical Society Colloquium Publications, vol. XXIV, New York, 1939. [3] p-Algebras over a field generated by one indeterminate, Bulletin of the American Mathematical Society, vol. 43, 1937, pp. 733–736. [4] Quadratic null forms over a function field, Annals of Mathematics, vol. 39, 1938, pp. 494–505. [5] Symmetric and alternate matrices in an arbitrary field, I, Transactions of the American Mathematical Society, vol. 43, 1938, pp. 386–436.
   Google Scholar
• Becker, M. F., and Mac Lane, Saunders, [6] The minimum number of generators for inseparable algebraic extensions, Bulletin of the American Mathematical Society, vol. 46, 1940, pp. 182–186.
   Google Scholar
• Carlitz, L., [7] A class of polynomials, Duke Mathematical Journal, vol. 43, 1938, pp. 167–182.
   Google Scholar
• Chevalley, C., [8] Demonstration d'une hypothèse de M. Artin, Abhandlungen aus dem mathematischen Seminar der Universität Hamburg, vol. 11, 1936, pp. 73–75.
   Google Scholar
• Hasse, H., [9] Theorie der Kongruenzzetafunktionen, Sitzungsbericht der Preussischen Akademie der Wissenschaften, Berlin, 1934, pp. 250–255.
   Google Scholar
• Hasse, H., and Schmidt, F. K., [10] Die Struktur diskret bewerteter Körper, Journal für die reine und angewandte Mathematik, vol. 170, 1934, pp. 4–63.
   Google Scholar
• Jacobson, N., [11] p-Algebras of exponent p, Bulletin of the American Mathematical Society, vol. 43, 1937, pp. 667–670. [12] Abstract derivation and Lie algebras, Transactions of the American Mathematical Society, vol. 42, 1937, pp. 206–224.
   Google Scholar
• Krull, W., [13] Beiträge zur Arithmetik kommutativer Integritätsbereiche VII, Inseparable Grundkörpererweiterung, Bemerkungen zur Körpertheorie, Mathematische Zeitschrift, vol. 45, 1939, pp. 319–334.
   Google Scholar
• MacDuffee, C. C., [14] The p-adic numbers of Hensel, this Monthly, vol. 45, 1938, pp. 500–508
   Google Scholar
• Mac Lane, Saunders, [15] Steinitz field towers for modular fields, Transactions of the American Mathematical Society, vol. 46, 1939, pp. 23–45. [16] Modular fields I, Separating transcendence bases, Duke Mathematical Journal, vol. 5, 1939, pp. 372–393. [17] Notes on Higher Algebra, (planographed) Ann Arbor, 1939. With Schmidt, F. K., [18], Ueber inseparable Körper, forth-coming in Mathematische Zeitschrift. With Nilson, E. N., [19] Algebraic functions, (piano-graphed) Ann Arbor, 1940.
   Google Scholar
• Schilling, O. F. G., [20] Foundations of an abstract theory of Abelian functions, American Journal of Mathematics, vol. 61, 1939, pp. 59–80. [21] Modern Aspects of the Theory of Algebraic Functions, Mimeographed, Chicago, 1938.
   Google Scholar
• Schmidt, F. K., [22] Zur arithmetischen Theorie der algebraischen Funktionen II, Allgemeine Theorie der Weierstrasspunkte, Mathematische Zeitschrift, vol. 45, 1939, pp. 75–97.
   Google Scholar
• Steinitz, E., [23] Algebraische Theorie der Körper, Journal für die reine und angewandte Mathematik, vol. 137, 1910, pp. 167–308; also edited by R. Baer and H. Hasse, Berlin, 1930.
   Google Scholar
• Stone, M. H., [24] The theory of representations for Boolean algebras, Transactions of the American Mathematical Society, vol. 40, 1936, pp. 37–111.
   Google Scholar
• Teichmüller, O., [25] p-Algebren, Deutsche Mathematik, vol. 1, 1936, pp. 362–388.
   Google Scholar
• Weiss, Marie J., [26] Algebra for the undergraduate, this Monthly, vol. 46, 1939, pp. 635–642.
   Google Scholar
• van der Waerden, B. L., [27] Moderne Algebra, vol. I, First edition, Berlin, 1930 (also second edition, 1938). [28] Zur algebraischen Geometrie XIV, Schnittpunktszahlen von algebraischen Mannigfaltigkeiten, Mathematische Annalen, vol. 115, 1938, pp. 619–644.
   Google Scholar