Skew fields
P. M. Cohn
Reading Time
at 250 WPM8h 40m
The average reader, reading at a speed of 250 WPM, would take 8h 40m to read Skew fields.
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18
days at 30 min/day
520
total minutes
Skew fields
by P. M. Cohn
Published
2008
Publisher
Cambridge University Press
Pages
520
ISBN-13
9780521062947
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.
Subjects
Skew linear groups
Skew field constructions
A concrete approach to division rings
Even order subgroups of finite dimensional division rings
Angeordnete Schiefkörper mit natürlicher Bewertung vom Rang 1
Topics in functional analysis over valued division rings
Frequently Asked Questions
How many pages are in Skew fields?
This edition of Skew fields has approximately 520 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Skew fields?
For most readers, Skew fields typically takes between 10h 50m and 7h 13m to complete. This is based on the book's length of approximately 130,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 8h 40m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 18 days • Estimated word count: 130,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Skew fields?
The estimated word count for Skew fields is approximately 130,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Skew fields?
Skew fields was written by P. M. Cohn.
When was Skew fields published?
The publication date for this specific edition is 2008. The original work may have been published on a different date.