It takes the average reader 10 hours and 50 minutes to read Value Functions on Simple Algebras, and Associated Graded Rings by Jean-Pierre Tignol
Assuming a reading speed of 250 words per minute. Learn more
This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem. This study is particularly timely because it approaches the subject from the perspective of associated graded structures. This new approach has been developed by the authors in the last few years and has significantly clarified the theory. Various constructions of division algebras are obtained as applications of the theory, such as noncrossed products and indecomposable algebras. In addition, the use of valuation theory in reduced Whitehead group calculations (after Hazrat and Wadsworth) and in essential dimension computations (after Baek and Merkurjev) is showcased. The intended audience consists of graduate students and research mathematicians.
Value Functions on Simple Algebras, and Associated Graded Rings by Jean-Pierre Tignol is 643 pages long, and a total of 162,679 words.
This makes it 217% the length of the average book. It also has 199% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 14 hours and 48 minutes to read Value Functions on Simple Algebras, and Associated Graded Rings aloud.
Value Functions on Simple Algebras, and Associated Graded Rings is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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