Book Review
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MathSciNet review:
1568115
Full text of review:
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Book Information:
Author:
Seth Warner
Title:
Topological rings
Additional book information:
North Holland Math Studies, vol. 178, North-Holland, Amsterdam, 1993, x\,+\, 498 pp., US$142{.}75. ISBN 0-444-89446-2.
[1] D. van Dantzig, Studien over topologische algebra, H. J. Paris, Amsterdam, 1931. (Dutch)
N. Jacobson, Totally Disconnected Locally Compact Rings, Amer. J. Math. 58 (1936), no. 2, 433–449. MR 1507166, DOI 10.2307/2371052
[3] N. Jacobson and O. Taussky, Locally compact rings, Proc. Nat. Acad. Sci. U.S.A. 21 (1935), 106-108.
[4] L. S. Pontrjagin, Über stetige algebraische Körper, Ann. of Math. 33 (1932), 163-174.
L. S. Pontryagin, Topological groups, Gordon and Breach Science Publishers, Inc., New York-London-Paris, 1966. Translated from the second Russian edition by Arlen Brown. MR 0201557
Leo Anatoljewitsch Skornjakov, Einfache lokal bikompakte Ringe, Math. Z. 87 (1965), 241–251 (German). MR 194477, DOI 10.1007/BF01109942
[7] L. Small, Reviews in ring theory 1940-1979, Amer. Math. Soc., Providence, RI, 1981.
Seth Warner, Topological fields, North-Holland Mathematics Studies, vol. 157, North-Holland Publishing Co., Amsterdam, 1989. Notas de Matemática [Mathematical Notes], 126. MR 1002951
- [1]
- D. van Dantzig, Studien over topologische algebra, H. J. Paris, Amsterdam, 1931. (Dutch)
- [2]
- N. Jacobson, Totally disconnected locally compact rings, Amer. J. Math. 58 (1936), 433-449. MR 1507166
- [3]
- N. Jacobson and O. Taussky, Locally compact rings, Proc. Nat. Acad. Sci. U.S.A. 21 (1935), 106-108.
- [4]
- L. S. Pontrjagin, Über stetige algebraische Körper, Ann. of Math. 33 (1932), 163-174.
- [5]
- -, Topological groups, English transl., 2nd Russian ed., Gordon and Breach, New York, 1966. MR 0201557 (34:1439)
- [6]
- L. A. Skornjakov, Einfache lokal bikompakte Ringe, Math. Z. 87 (1965), 241-251. MR 0194477 (33:2687)
- [7]
- L. Small, Reviews in ring theory 1940-1979, Amer. Math. Soc., Providence, RI, 1981.
- [8]
- S. Warner, Topological fields, North-Holland, Amsterdam, 1989. MR 1002951 (90i:12012)
Review Information:
Reviewer:
Irving Kaplansky
Journal:
Bull. Amer. Math. Soc.
31 (1994), 146-147
DOI:
https://doi.org/10.1090/S0273-0979-1994-00508-7
