More titles to consider

Shopping Cart

You're getting the VIP treatment!

With the purchase of Kobo VIP Membership, you're getting 10% off and 2x Kobo Super Points on eligible items.

Item(s) unavailable for purchase
Please review your cart. You can remove the unavailable item(s) now or we'll automatically remove it at Checkout.


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.

Ratings and Reviews

Overall rating

No ratings yet
5 Stars 4 Stars 3 Stars 2 Stars 1 Stars
0 0 0 0 0

Be the first to rate and review this book!

You've already shared your review for this item. Thanks!

We are currently reviewing your submission. Thanks!


You can read this item using any of the following Kobo apps and devices:

  • IOS