The separable closure of some commutative rings

Magid, Andy R.

doi:10.1090/S0002-9947-1972-0311642-3

The separable closure of some commutative rings
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by Andy R. Magid

Trans. Amer. Math. Soc. 170 (1972), 109-124

DOI: https://doi.org/10.1090/S0002-9947-1972-0311642-3

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Abstract:

The separable closure of a commutative ring with an arbitrary number of idempotents is defined and its Galois theory studied. Projective separable algebras over the ring are shown to be determined by the ’Galois groupoid’ of the closure. The existence of the closure is demonstrated for certain rings.

References

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