# Skew Fields: Theory of General Division Rings (Encyclopedia of Mathematics and its Applications)

## P. M. Cohn FRS

0 valoración promedio
( 0 valoraciones por Goodreads )

Algebraists have studied noncommutative fields (also called skew fields or division rings) less thoroughly than their commutative counterparts. Most existing accounts have been confined to division algebras, i.e. skew fields that are finite dimensional over their center. This work offers the first comprehensive account of skew fields. It is based on the author's LMS Lecture Note Volume "Skew Field Constructions". The axiomatic foundation and a precise description of the embedding problem precedes an account of algebraic and topological construction methods. The author presents his general embedding theory with full proofs, leading to the construction of skew fields. The author has simplified his treatment of equations over skew fields and has extended it by the use of matrix methods. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the reader's understanding, presenting further aspects and open problems in concise form. Notes and comments at the end of chapters provide historical background. The book will appeal to researchers in algebra, logic, and algebraic geometry, as well as graduate students in these fields.

"Sinopsis" puede pertenecer a otra edición de este libro.

Book Description:

Based on the authors LMS lecture note volume "Skew Field Constructions", the present work offers a comprehensive account of skew fields. The axiomatic foundation and a precise description of the embedding problem is followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G.M. Bergman are proved here as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter examples.Numerous exercises test the readers understanding, presenting further aspects and open problems in concise form, and notes and comments at the end of chapters provide historical background.

Review:

Review of the hardback: '... the first book on this theme and will be the basis of any future development in this field.' J. Schoissengeier, Monatshefte für Mathematik

Review of the hardback: 'While the material is quite technical, the book is very readable.' Mathematika

Review of the hardback: '... an up-to-date account.' European Mathematical Society Newsletter

Review of the hardback: 'This is a tremendous piece of work, whose importance will grow for many years.' Bulletin of the London Mathematic Society

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro
EUR 85,23

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America

Destinos, gastos y plazos de envío

## 1.Skew Fields: Theory of General Division Rings (Paperback)

Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521062942 ISBN 13: 9780521062947
Impresión bajo demanda
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Estado de conservación: New. Language: English . Brand New Book ***** Print on Demand *****.Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author s LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author s general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable. Nº de ref. de la librería AAV9780521062947

Comprar nuevo
EUR 85,23
Convertir moneda
Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 2.Skew Fields

Editorial: Cambridge University Press (2008)
ISBN 10: 0521062942 ISBN 13: 9780521062947
Impresión bajo demanda
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
Valoración

Descripción Cambridge University Press, 2008. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780521062947

Comprar nuevo
EUR 77,63
Convertir moneda
Gastos de envío: EUR 10,08
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 3.Skew Fields: Theory of General Division Rings

Editorial: Cambridge University Press (2016)
ISBN 10: 0521062942 ISBN 13: 9780521062947
Impresión bajo demanda
Librería
Ria Christie Collections
(Uxbridge, Reino Unido)
Valoración

Descripción Cambridge University Press, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780521062947_lsuk

Comprar nuevo
EUR 85,48
Convertir moneda
Gastos de envío: EUR 4,33
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 4.Skew Fields: Theory of General Division Rings (Paperback)

Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521062942 ISBN 13: 9780521062947
Impresión bajo demanda
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Estado de conservación: New. Language: English . Brand New Book ***** Print on Demand *****. Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author s LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author s general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable. Nº de ref. de la librería AAV9780521062947

Comprar nuevo
EUR 90,31
Convertir moneda
Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 5.Skew Fields

ISBN 10: 0521062942 ISBN 13: 9780521062947
Librería
Herb Tandree Philosophy Books
(Stroud, GLOS, Reino Unido)
Valoración

Descripción 2008. Paperback. Estado de conservación: NEW. 9780521062947 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0443416

Comprar nuevo
EUR 86,30
Convertir moneda
Gastos de envío: EUR 8,95
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 6.Skew Fields

Editorial: Cambridge University Press (2008)
ISBN 10: 0521062942 ISBN 13: 9780521062947
Impresión bajo demanda
Librería
Pbshop
(Wood Dale, IL, Estados Unidos de America)
Valoración

Descripción Cambridge University Press, 2008. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780521062947

Comprar nuevo
EUR 95,16
Convertir moneda
Gastos de envío: EUR 3,43
Destinos, gastos y plazos de envío

## 7.Skew Fields: Theory of General Division Rings (Encyclopedia of Mathematics and its Applications)

Editorial: Cambridge University Press (2008)
ISBN 10: 0521062942 ISBN 13: 9780521062947
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración

Descripción Cambridge University Press, 2008. Paperback. Estado de conservación: New. 1. Nº de ref. de la librería DADAX0521062942

Comprar nuevo
EUR 141,37
Convertir moneda
Gastos de envío: EUR 3,43
Destinos, gastos y plazos de envío

## 8.Skew Fields: Theory of General Division Rings

Editorial: Cambridge University Press
ISBN 10: 0521062942 ISBN 13: 9780521062947
Librería
(Las Vegas, NV, Estados Unidos de America)
Valoración

Descripción Cambridge University Press. Paperback. Estado de conservación: New. Paperback. 520 pages. Dimensions: 9.1in. x 6.1in. x 1.2in.Algebraists have studied noncommutative fields (also called skew fields or division rings) less thoroughly than their commutative counterparts. Most existing accounts have been confined to division algebras, i. e. skew fields that are finite dimensional over their center. This work offers the first comprehensive account of skew fields. It is based on the authors LMS Lecture Note Volume Skew Field Constructions. The axiomatic foundation and a precise description of the embedding problem precedes an account of algebraic and topological construction methods. The author presents his general embedding theory with full proofs, leading to the construction of skew fields. The author has simplified his treatment of equations over skew fields and has extended it by the use of matrix methods. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the readers understanding, presenting further aspects and open problems in concise form. Notes and comments at the end of chapters provide historical background. The book will appeal to researchers in algebra, logic, and algebraic geometry, as well as graduate students in these fields. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Nº de ref. de la librería 9780521062947

Comprar nuevo
EUR 164,07
Convertir moneda
Gastos de envío: EUR 3,39
Destinos, gastos y plazos de envío

## 9.Skew Fields: Theory of General Division Rings (Encyclopedia of Mathematics and its Applications)

Editorial: Cambridge University Press (2008)
ISBN 10: 0521062942 ISBN 13: 9780521062947