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- Springer Berlin Heidelberg 2012; US$ 139.00
The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives. Non-commutative Iwasawa theory has emerged dramatically over the last decade, culminating in the recent proof of the non-commutative... more...
- Springer Basel 2012; US$ 89.99
This book presents topics in module theory and ring theory: some, such as Goldie dimension and semiperfect rings are now considered classical and others more specialized, such as dual Goldie dimension, semilocal endomorphism rings, serial rings and modules. more...
- Cambridge University Press 2010; US$ 32.00
V. I. Arnold reveals some unexpected connections between Galois fields and other apparently unrelated theories. more...
- Springer Berlin Heidelberg 2010; US$ 119.00
?Serre?s Conjecture?, for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k[x ,. . . ,x], where k is a ?eld. This statement was motivated by the fact that 1 n the af?ne scheme... more...
- De Gruyter 2008; US$ 252.00
This 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...
- IOS Press 2008; US$ 161.00
Number 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...
- Springer Berlin Heidelberg 2007; US$ 109.00
This book constitutes the refereed proceedings of the First International Workshop on the Arithmetic of Finite Fields, WAIFI 2007, held in Madrid, Spain in June 2007. It covers structures in finite fields, efficient implementation and architectures, efficient finite field arithmetic, classification and construction of mappings over finite fields,... more...
- Springer Berlin Heidelberg 2007; US$ 19.95
In jedem Handy, CD-Player und Computer steckt ein Chip. Dieses Buch erklärt das mathematische Innenleben dieses Bausteins. Ein elementarer und zielgerichteter Text zur Algebra, denn endliche Körper können ohne algebraische Begriffe nicht erklärt werden? more...
- Springer Berlin Heidelberg 2006; US$ 119.00
Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals. The notion of a module over a ring R is a generalization of that of a vector space over a field k. The axioms are identical. But whereas every vector... more...