Galois Theory for Rings with Finitely Many Idempotents
1966 ◽
Vol 27
(2)
◽
pp. 721-731
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Keyword(s):
In [5], Chase, Harrison and Rosenberg proved the Fundamental Theorem of Galois Theory for commutative ring extensions S ⊃ R under two hypotheses: (i) 5 (and hence R) has no idempotents except 0 and l; and (ii) 5 is Galois over R with respect to a finite group G—which in the presence of (i) is equivalent to (ii′): S is separable as an R-algebra, finitely generated and projective as an R-module, and the fixed ring under the group of all R-algebra automorphisms of S is exactly R.
1979 ◽
Vol 28
(3)
◽
pp. 335-345
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Keyword(s):
1989 ◽
Vol 40
(1)
◽
pp. 109-111
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Keyword(s):
Keyword(s):
1969 ◽
Vol 21
◽
pp. 684-701
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Keyword(s):
1965 ◽
Vol 25
◽
pp. 113-120
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Keyword(s):
Keyword(s):
1956 ◽
Vol 52
(1)
◽
pp. 5-11
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2002 ◽
Vol 133
(3)
◽
pp. 411-430
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