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Skew Fields: Theory of General Division Rings
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Bibliographic Detail
Publisher Cambridge Univ Pr
Publication date October 1, 1995
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9780521432177
ISBN-10 0521432170
Dimensions 1.25 by 6.75 by 9.75 in.
Weight 2 lbs.
Original list price $259.99
Other format details university press
Summaries and Reviews
Amazon.com description: Product Description: 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.

Editions
Hardcover
Book cover for 9780521432177
 
The price comparison is for this edition
from Cambridge Univ Pr (October 1, 1995)
9780521432177 | details & prices | 6.75 × 9.75 × 1.25 in. | 2.05 lbs | List price $259.99
About: Algebraists have studied noncommutative fields (also called skew fields or division rings) less thoroughly than their commutative counterparts.
Paperback
Book cover for 9780521062947
 
1 edition from Cambridge Univ Pr (May 15, 2008)
9780521062947 | details & prices | 516 pages | 6.00 × 9.50 × 1.25 in. | 1.60 lbs | List price $129.99
About: Algebraists have studied noncommutative fields (also called skew fields or division rings) less thoroughly than their commutative counterparts.

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