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The Resource The Separable Galois theory of commutative rings, Andy R. Magid
The Separable Galois theory of commutative rings, Andy R. Magid
Resource Information
The item The Separable Galois theory of commutative rings, Andy R. Magid represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item The Separable Galois theory of commutative rings, Andy R. Magid represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary

 "This book provides a thorough, selfcontained 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"
 "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"
 Language
 eng
 Edition
 Second edition.
 Extent
 1 online resource.
 Note
 Description based on print version record
 Isbn
 9781482208061
 Label
 The Separable Galois theory of commutative rings
 Title
 The Separable Galois theory of commutative rings
 Statement of responsibility
 Andy R. Magid
 Language
 eng
 Summary

 "This book provides a thorough, selfcontained 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"
 "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"
 Assigning source

 Provided by publisher
 Provided by publisher
 Cataloging source
 NhCcYBP
 http://library.link/vocab/creatorDate
 1944
 http://library.link/vocab/creatorName
 Magid, Andy R.
 Dewey number
 512/.32
 Index
 index present
 LC call number
 QA251.3
 LC item number
 .M33 2014
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Ebooks Corporation
 Series statement
 Chapman & Hall/CRC pure and applied mathematics. Monographs and textbooks in pure and applied mathematics
 http://library.link/vocab/subjectName

 Commutative rings
 Commutative algebra
 Galois theory
 Label
 The Separable Galois theory of commutative rings, Andy R. Magid
 Note
 Description based on print version record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Dimensions
 unknown
 Edition
 Second edition.
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9781482208061
 Isbn Type
 (electronic bk.)
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Specific material designation
 remote
 System control number
 (NhCcYBP)40023877660
 Label
 The Separable Galois theory of commutative rings, Andy R. Magid
 Note
 Description based on print version record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Dimensions
 unknown
 Edition
 Second edition.
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9781482208061
 Isbn Type
 (electronic bk.)
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Reproduction note
 Electronic reproduction.
 Specific material designation
 remote
 System control number
 (NhCcYBP)40023877660
Library Locations

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