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#### Dynamics, Statistics and Projective Geometry of Galois Fields

Cambridge University Press 2010; US$ 32.00V. I. Arnold reveals some unexpected connections between Galois fields and other apparently unrelated theories. more...

#### Noncommutative Iwasawa Main Conjectures over Totally Real Fields

Springer 2012; US$ 139.00#### Finite Fields and Applications

Cambridge University Press 1996; US$ 92.00These proceedings give a state-of-the-art account of the area of finite fields and their applications. more...

#### Module Theory

Springer 2012; US$ 39.95The purpose of this expository monograph is three-fold. First, the solution of a problem posed by Wolfgang Krull in 1932 is presented. He asked whether what is now called the 'Krull-Schmidt Theorem' holds for artinian modules. A negative answer was published only in 1995 by Facchini, Herbera, Levy and Vámos. Second, the answer to a question... more...

#### Ideals and Reality

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 119.00This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philosophy to problems in affine algebraic geometry. It gives a lucid presentation of the Quillen-Suslin theorem settling Serre's conjecture. The central topic of the book is the question of whether a curve in $n$-space is as a set an intersection of $(n-1)$... more...

#### Higher-Dimensional Geometry over Finite Fields

IOS Press 2008; US$ 161.00Number systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the modern age. Finite fields are the important number systems. This title introduces the reader to the developments in algebraic geometry over finite fields. more...

#### Modules over Discrete Valuation Domains

De Gruyter 2008; US$ 238.00This book provides the first systematic treatment of modules over discrete valuation domains which plays an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text which is supplemented by exercises and interesting open problems. ... more...

#### Serre's Problem on Projective Modules

Springer 2010; US$ 119.00An invaluable summary of research work done in the period from 1978 to the present more...

#### Polynomials and Equations

Hong Kong University Press, HKU 1992; US$ 21.00Primarily a textbook to prepare Sixth Form students for public examinations in Hong Kong, this book is also useful as a reference for undergraduate students since it contains some advanced theory of equations beyond the sixth form level. more...