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#### Radical Theory of Rings

CRC Press 2003; US$ 297.00Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals... more...

#### Cohomology of Vector Bundles and Syzygies

Cambridge University Press 2003; US$ 120.00 US$ 98.40An exposition of the important geometric technique of calculating syzygies. more...

#### Algebras, Rings and Modules

Springer Netherlands 2006; US$ 139.00Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the theory of algebras (in particular, noncommutative algebras) originated fromasingleexample,namelythequaternions,createdbySirWilliamR.Hamilton in1843. Thiswasthe?rstexampleofanoncommutative?numbersystem?. During thenextfortyyearsmathematiciansintroducedotherexamplesofnoncommutative... more...

#### Function Field Arithmetic

World Scientific Publishing Company 2004; US$ 145.00This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. more...

#### Non-Unique Factorizations

CRC Press 2006; US$ 172.95From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factorizations:... more...

#### Introductory Algebraic Number Theory

Cambridge University Press 2003; US$ 56.00 US$ 45.92This book provides an introduction to algebraic number theory suitable for senior undergraduates and beginning graduate students in mathematics. more...

#### Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings

Cambridge University Press 2004; US$ 80.00 US$ 65.60This book provides a unified approach to much of the theories of equivalence and duality between categories of modules. more...

#### Free Ideal Rings and Localization in General Rings

Cambridge University Press 2006; US$ 192.00 US$ 157.44This book presents the theory of free ideal rings (firs) in detail. more...

#### Certain Number-Theoretic Episodes In Algebra

CRC Press 2006; US$ 209.95Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutative algebra... more...

#### Lifting Modules

Birkhäuser Basel 2008; US$ 69.95Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the purpose of our monograph is to provide a thorough study of supplements and projectivity... more...