On a notion of "Galois closure" for extensions of rings

Author(s): Bhargava, Manjul; Satriano, Matthew

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DC Field	Value	Language
dc.contributor.author	Bhargava, Manjul	-
dc.contributor.author	Satriano, Matthew	-
dc.date.accessioned	2017-11-21T19:03:42Z	-
dc.date.available	2017-11-21T19:03:42Z	-
dc.date.issued	2014	en_US
dc.identifier.citation	M. BHARGAVA and M. SATRIANO , On a notion of “Galois closure” for extensions of rings ,J.Eur.Math.Soc.(JEMS) 16 (2014), 1881–1913. MR 3273311. DOI 10.4171/JEMS/478. (1885, 1886)	en_US
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1ns89	-
dc.description.abstract	We introduce a notion of "Galois closure" for extensions of rings. We show that the notion agrees with the usual notion of Galois closure in the case of an S_n degree n extension of fields. Moreover, we prove a number of properties of this construction; for example, we show that it is functorial and respects base change. We also investigate the behavior of this Galois closure construction for various natural classes of ring extensions.	en_US
dc.format.extent	1881–1913	en_US
dc.language.iso	en	en_US
dc.relation.ispartof	JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY	en_US
dc.rights	Author's manuscript	en_US
dc.title	On a notion of "Galois closure" for extensions of rings	en_US
dc.type	Journal Article	en_US
dc.date.eissued	2014	en_US
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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