000			02526nam a22003738i 4500
001			CR9780511619939
003			UkCbUP
005			20200124160235.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090916s2001||||enk o ||1 0|eng|d
020			_a9780511619939 (ebook)
020			_z9780521803090 (hardback)
020			_z9780521070416 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA214 _b.B67 2001
082	0	0	_a512/.3 _221
100	1		_aBorceux, Francis, _d1948- _eauthor.
245	1	0	_aGalois theories / _cFrancis Borceux, George Janelidze.
264		1	_aCambridge : _bCambridge University Press, _c2001.
300			_a1 online resource (xiv, 341 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v72
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_tClassical galois theory -- _tGalois theory of grothendieck -- _tInfinitary galois theory -- _tCategorical galois theory of commuttive rings -- _tCategorical galois theorem and factorization systems -- _tCovering maps -- _tNon-galoisian galois theory.
520			_aStarting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups. In the core of the book, the authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience: the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. The first chapters are accessible to advanced undergraduates, with later ones at a graduate level. For all algebraists and category theorists this book will be a rewarding read.
650		0	_aGalois theory.
700	1		_aJanelidze, G. _q(George), _d1952- _eauthor.
776	0	8	_iPrint version: _z9780521803090
830		0	_aCambridge studies in advanced mathematics ; _v72.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511619939
999			_c518004 _d518002