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The Separable Galois theory of commu...

Magid, Andy R. (1944-)

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The Separable Galois theory of commutative rings /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Separable Galois theory of commutative rings // Andy R. Magid.
作者:	Magid, Andy R.
出版者:	Boca Raton :CRC Press, : c2014.,
面頁冊數:	xv, 168 p. ;24 cm.
標題:	Commutative rings. -
ISBN:	9781482208054

The Separable Galois theory of commutative rings /
Magid, Andy R.1944-

The Separable Galois theory of commutative rings /Andy R. Magid. - 2nd ed. - Boca Raton :CRC Press,c2014. - xv, 168 p. ;24 cm. - Pure and applied mathematics. Monographs and textbooks in pure and applied mathematics. - Monographs and textbooks in pure and applied mathematics..

Includes bibliographical references and index.

"This book provides a thorough, self-contained explanation of Galois theory of commutative rings. Requiring some background in commutative algebra and algebraic geometry, the book gives complete proofs of the main results of separable Galois theory. This edition includes a new chapter that offers background on separability and a new chapter on categorical Galois theory that incorporates many developments in the field. The book also covers Boolean spectrum theory and the fundamental groupoid"--

ISBN: 9781482208054UK86.99

LCCN: 2014015953Subjects--Topical Terms:

606074
Commutative rings.

LC Class. No.: QA251.3 / .M33 2014

Dewey Class. No.: 512/.32

The Separable Galois theory of commutative rings /
LDR:03003cam a2200241 a 4500 001 2017665
003 DLC
005 20150223122647.0
008 161003s2014 flu b 001 0 eng
010 $a 2014015953
020 $a 9781482208054 $q (hardback) : $c UK86.99
020 $a 1482208059 $q (hardback)
040 $a DLC $b eng $c DLC $d DLC
042 $a pcc
050 0 0 $a QA251.3 $b .M33 2014
082 0 0 $a 512/.32 $2 23
100 1 $a Magid, Andy R. $q (Andy Roy), $d 1944- $3 2185016
245 1 4 $a The Separable Galois theory of commutative rings / $c Andy R. Magid.
250 $a 2nd ed.
260 $a Boca Raton : $b CRC Press, $c c2014.
300 $a xv, 168 p. ; $c 24 cm.
490 1 $a Pure and applied mathematics. Monographs and textbooks in pure and applied mathematics
504 $a Includes bibliographical references and index.
520 $a "This book provides a thorough, self-contained explanation of Galois theory of commutative rings. Requiring some background in commutative algebra and algebraic geometry, the book gives complete proofs of the main results of separable Galois theory. This edition includes a new chapter that offers background on separability and a new chapter on categorical Galois theory that incorporates many developments in the field. The book also covers Boolean spectrum theory and the fundamental groupoid"-- $c Provided by publisher.
520 $a "The first edition of this book appeared with a copyright date of 1974; arithmeti- cally inclined readers will note that this is exactly 40 years prior to the copyright date of this edition. It was my hope, with the earlier edition, to give an account of a subject which I termed \more or less complete". Of course no mathematics is ever complete. The subject itself moved on, most notably, in the work of George Janelidze on Galois theory in categories, a de nitive account of which may found in the book Galois Theories by Janelidze and Francis Borceux. An explanation of that theory will not be attempted here. Rather, I have the much more modest aim of revisiting that earlier work with whatever insights an additional four decades of doing mathematics can bring to bear. That means that virtually every result and every piece of exposition has been rewritten and recast, often to include additional generality, although, at least to the author, the logical arc of the earlier volume remains mostly intact. One exception to the previous assertion is that this volume include a self contained exposition of the theory of separable algebras. The excellent lecture notes Separable Algebras over Commutative Rings by DeMeyer and Ingraham which was used as a citation source for that theory in the rst edition remains in print. However, the likelihood that mathematicians today have seen that ma- terial, either in the cited work or another source, is small, warranting including an exposition in this volume, and given that, the temptation to explain my own understanding of separability was too great to resist. This book is, at heart, commutative algebra, the author, at heart, being a commutative algebraist"-- $c Provided by publisher.
650 0 $a Commutative rings. $3 606074
650 0 $a Commutative algebra. $3 604140
650 0 $a Galois theory. $3 523821
830 0 $a Monographs and textbooks in pure and applied mathematics. $3 2018234