Skew Fields by P. M. Cohn
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Skew Fields
By P. M. Cohn

Skew Fields

Theory of General Division Rings

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Series edited by G.-C. Rota See other recent books by G.-C. Rota See other recent books by B. Doran
Format: Hardback

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Skew Fields by P. M. Cohn

Book Description

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.

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Book Details

ISBN: 9780521432177
ISBN-10: 0521432170
Format: Hardback
(228mm x 152mm x 29mm)
Pages: 520
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Jul-1995
Country of Publication: United Kingdom

Other Editions...


Books By Author P. M. Cohn

Lie Group by P. M. Cohn Lie Group, Paperback (January 2009)

The theory of Lie groups rests on three pillars: analysis, topology and algebra.

Skew Fields by P. M. Cohn Skew Fields, Paperback (May 2008)

This work offers a comprehensive account of skew fields and related mathematics.

Free Ideal Rings and Localization in General Rings by P. M. Cohn Free Ideal Rings and Localization in General Rings, Hardback (June 2006)

This book presents the theory of free ideal rings (firs) in detail.

Classic Algebra by P. M. Cohn Classic Algebra, Hardback (August 2000)

Fundamental to all areas of mathematics, algebra provides the cornerstone for the student's development. The concepts are often intuitive, but some can take years of study to fully absorb. For over twenty years, the author's classic three-volume set, Algebra, has been regarded by many as the most outstanding introductory work available.

» View all books by P. M. Cohn

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