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#### Lectures on the Asymptotic Theory of Ideals

Cambridge University Press 1988; US$ 60.00In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general... more...

#### Algorithmic Algebraic Number Theory

Cambridge University Press 1989; US$ 94.00Classic book, addressed to all lovers of number theory. more...

#### Finite Fields

Cambridge University Press 1996; US$ 104.00This book is devoted entirely to the theory of finite fields. more...

#### Continuous and Discrete Modules

Cambridge University Press 1990; US$ 49.00This book will be useful either to individuals beginning research, or the more experienced worker in algebra and representation theory. more...

#### Finite Fields and Applications

Cambridge University Press 1996; US$ 87.00These proceedings give a state-of-the-art account of the area of finite fields and their applications. more...

#### Structured Ring Spectra

Cambridge University Press 2004; US$ 82.00This book contains some important new contributions to the theory of structured ring spectra. 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...

#### Finite-Dimensional Division Algebras over Fields

Springer 2009; US$ 99.00Finite-Dimensional Division Algebras over fields determine, by the Wedderburn Theorem, the semi-simple finite-dimensional algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brauer-Severi varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear... more...

#### Quadratic Irrationals

Taylor and Francis 2013; US$ 99.95Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.... more...

#### Extensions of Rings and Modules

Springer 2013; US$ 79.99The focus of this monograph is the study of rings and modules which have a rich supply of direct summands with respect to various extensions. The first four chapters of the book discuss rings and modules which generalize injectivity (e.g., extending modules), or for which certain annihilators become direct summands (e.g., Baer rings). Ring extensions... more...