On a notion of Galois closure for extensions of rings - Mathematics > Commutative AlgebraReport as inadecuate




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Abstract: We introduce a notion of -Galois closure- for extensions of rings. We showthat the notion agrees with the usual notion of Galois closure in the case ofan S n degree n extension of fields. Moreover, we prove a number of propertiesof this construction; for example, we show that it is functorial and respectsbase change. We also investigate the behavior of this Galois closureconstruction for various natural classes of ring extensions.



Author: Manjul Bhargava, Matthew Satriano

Source: https://arxiv.org/







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