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The first comprehensive, modern introduction to the theory of
central simple algebras over arbitrary fields, this book starts
from the basics and reaches such advanced results as the
Merkurjev-Suslin theorem, a culmination of work initiated by
Brauer, Noether, Hasse and Albert, and the starting point of
current research in motivic cohomology theory by Voevodsky, Suslin,
Rost and others. Assuming only a solid background in algebra, the
text covers the basic theory of central simple algebras, methods of
Galois descent and Galois cohomology, Severi-Brauer varieties, and
techniques in Milnor K-theory and K-cohomology, leading to a full
proof of the Merkurjev-Suslin theorem and its application to the
characterization of reduced norms. The final chapter rounds off the
theory by presenting the results in positive characteristic,
including the theorems of Bloch-Gabber-Kato and Izhboldin. This
second edition has been carefully revised and updated, and contains
important additional topics.
The first comprehensive, modern introduction to the theory of
central simple algebras over arbitrary fields, this book starts
from the basics and reaches such advanced results as the
Merkurjev-Suslin theorem, a culmination of work initiated by
Brauer, Noether, Hasse and Albert, and the starting point of
current research in motivic cohomology theory by Voevodsky, Suslin,
Rost and others. Assuming only a solid background in algebra, the
text covers the basic theory of central simple algebras, methods of
Galois descent and Galois cohomology, Severi-Brauer varieties, and
techniques in Milnor K-theory and K-cohomology, leading to a full
proof of the Merkurjev-Suslin theorem and its application to the
characterization of reduced norms. The final chapter rounds off the
theory by presenting the results in positive characteristic,
including the theorems of Bloch-Gabber-Kato and Izhboldin. This
second edition has been carefully revised and updated, and contains
important additional topics.
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Lakme (Paperback)
Edmond Gondinet, Philippe Gille; Translated by Theodore T Baker
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R517
Discovery Miles 5 170
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Ships in 18 - 22 working days
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This scarce antiquarian book is a facsimile reprint of the
original. Due to its age, it may contain imperfections such as
marks, notations, marginalia and flawed pages. Because we believe
this work is culturally important, we have made it available as
part of our commitment for protecting, preserving, and promoting
the world's literature in affordable, high quality, modern editions
that are true to the original work.
Translated And Adapted By Theodore T. Barker.
Translated And Adapted By Theodore T. Barker.
This scarce antiquarian book is a selection from Kessinger
Publishing's Legacy Reprint Series. Due to its age, it may contain
imperfections such as marks, notations, marginalia and flawed
pages. Because we believe this work is culturally important, we
have made it available as part of our commitment to protecting,
preserving, and promoting the world's literature. Kessinger
Publishing is the place to find hundreds of thousands of rare and
hard-to-find books with something of interest for everyone
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