In:
Journal of Algebra and Its Applications, World Scientific Pub Co Pte Ltd, Vol. 10, No. 03 ( 2011-06), p. 491-508
Kurzfassung:
Let A be a commutative integral domain with quotient field L, and let R be a subdomain of A with quotient field K. Assuming that L is a Galois extension of K, Nagata required the condition for R to be normal when A is called a Galois extension of R (see p. 31, M. Nagata, Local Rings (Wiley, New York, 1962)). However in this paper, A is considered in the case that R is not necessarily assumed to be normal. We introduce the notion of cyclic Galois extensions of integral domains and investigate several properties of such ring extensions. In particular, we completely determine the seminormalization [Formula: see text] of A in an overdomain B such that both A ⊆B are cyclic Galois extensions of R.
Materialart:
Online-Ressource
ISSN:
0219-4988
,
1793-6829
DOI:
10.1142/S0219498811004719
Sprache:
Englisch
Verlag:
World Scientific Pub Co Pte Ltd
Publikationsdatum:
2011
SSG:
17,1
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