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This article is cited in 20 scientific papers (total in 20 papers)
The fundamental theorem of Galois theory
G. Z. Dzhanelidze
Abstract:
For arbitrary categories $C$ and $X$ and an arbitrary functor $I\colon C\to X$ the author introduces the notion of an $I$-normal object and proves a general type of fundamental theorem of Galois theory for such objects. It is shown that the normal extensions of commutative rings and central extensions of multi-operator groups are special cases of $I$-normal objects.
Bibliography: 14 titles.
Received: 15.10.1986
Citation:
G. Z. Dzhanelidze, “The fundamental theorem of Galois theory”, Mat. Sb. (N.S.), 136(178):3(7) (1988), 361–376; Math. USSR-Sb., 64:2 (1989), 359–374
Linking options:
https://www.mathnet.ru/eng/sm1747https://doi.org/10.1070/SM1989v064n02ABEH003313 https://www.mathnet.ru/eng/sm/v178/i3/p361
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Abstract page: | 805 | Russian version PDF: | 550 | English version PDF: | 31 | References: | 60 |
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