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9780387727653

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In this book, Underwood chooses to introduce Hopf algebras in a manner most natural to a reader whose knowledge of algebra does not extend much beyond a first year graduate course. - Alan Koch, Zentralblatt Math.

From the reviews: The goal of this book is to introduce readers to the use of Hopf algebras in algebraic number theory and Galois module theory, in particular developing the theory of Hopf orders. ... The book concludes with a chapter of open problems, making this text very suitable for a beginning graduate student to work towards the research frontier in this area. ... This work very nicely complements the other texts on Hopf algebras and is a welcome addition to the literature. (Jan E. Grabowski, Mathematical Reviews, July, 2013) In this book, Underwood chooses to introduce Hopf algebras in a manner most natural to a reader whose knowledge of algebra does not extend much beyond a first year graduate course. - Alan Koch, Zentralblatt Math.

Author Information

Robert G. Underwood is an Associate Professor of Mathematics at Auburn University. His research interests include the classification of Hopf algebra orders in group rings and the application of Hopf orders to Galois module theory. Professor Underwood earned his PhD in Mathematics in 1992 from the State University of New York at Albany, and his Masters in Math Education in 1986, also from SUNY Albany.

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