Articles liés à EOM: 57 Skew Fields: Theory of General Division Rings
Synopsis
This work offers a comprehensive account of skew fields and related mathematics.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
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.
Revue de presse
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
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Skew Fields: Theory of General Division Rings (Encyclopedia of Mathematics and its Applications, Series Number 57)
Edité par
Cambridge University Press, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Couverture souple
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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EOM: 57 Skew Fields: Theory of General Division Rings (Encyclopedia of Mathematics and its Applications)
Edité par
Cambridge University Press 2008-08-21, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Paperback
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Skew Fields: Theory of General Division Rings
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Paperback. Etat : Brand New. 1st edition. 516 pages. 9.50x6.00x1.25 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521062942
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Skew Fields
Edité par
Cambridge University Press, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Based on the author s LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. Numerous exercises test the reader s understanding, presenting further aspects and open problems in a concise form. The n. N° de réf. du vendeur 446923536
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Skew Fields: Theory of General Division Rings
Edité par
Cambridge University Press, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Paperback / softback
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 750. N° de réf. du vendeur C9780521062947
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Skew Fields: Theory of General Division Rings (Paperback)
Edité par
Cambridge University Press, Cambridge, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Paperback
Edition originale
Vendeur : CitiRetail, Stevenage, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : new. Paperback. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521062947
Quantité disponible : 1 disponible(s)
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Skew Fields : Theory of General Division Rings
Edité par
Cambridge University Press, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This work offers a comprehensive account of skew fields and related mathematics. N° de réf. du vendeur 9780521062947
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Skew Fields: Theory of General Division Rings (Encyclopedia of Mathematics and its Applications, Series Number 57)
Edité par
Cambridge University Press, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Couverture souple
Vendeur : Lucky's Textbooks, Dallas, TX, Etats-Unis
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Skew Fields: Theory of General Division Rings (Paperback)
Edité par
Cambridge University Press, Cambridge, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Paperback
Edition originale
Vendeur : AussieBookSeller, Truganina, VIC, Australie
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : new. Paperback. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780521062947
Quantité disponible : 1 disponible(s)
Image d'archives
Skew Fields: Theory of General Division Rings (Paperback)
Edité par
Cambridge University Press, Cambridge, 2008
ISBN 10 : 0521062942
ISBN 13 : 9780521062947
Neuf
Paperback
Edition originale
Vendeur : Grand Eagle Retail, Mason, OH, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521062947
Quantité disponible : 1 disponible(s)