A note on the Galois correspondence for commutative rings
type: Item
instance of: scholarly article
title: A note on the Galois correspondence for commutative rings
zbMATH Open document ID: 0858.18003
author: A. Carboni
author: George Janelidze
author: Andy R. Magid
published in: Journal of Algebra
publication date: 1997-03-25T00:00:00Z
review text: The Galois correspondence for commutative rings from the third author's book ``The separable Galois theory of commutative rings'' [New York: Dekker (1974; Zbl 0284.13004)] is not correct, as it is shown here. This note gives the correct correspondence using the general Galois theory from the second author's papers [Soobshch. Akad. Nauk Gruz. SSR 114, 497-500 (1984; Zbl 0558.18001), Math. USSR Sb. 64, No. 2, 359-374 (1989); translation from Mat. Sb., Nov. Ser. 136(178), Nr. 3(7), 361-376 (1988; Zbl 0653.18002); J. Algebra 132, No. 2, 270-286 (1990; Zbl 0702.18006)].
Mathematics Subject Classification ID: 18A30
Mathematics Subject Classification ID: 13B05
Mathematics Subject Classification ID: 18A10
Mathematics Subject Classification ID: 18A35
zbMATH DE Number: 923684
zbMATH Keywords: Galois correspondence for commutative rings
zbMATH Keywords: Galois theory
MaRDI profile type: Publication
OpenAlex ID: W1986358768
DOI: 10.1006/JABR.1996.0219
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description: scientific article; zbMATH DE number 923684