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Algèbre commutative : Chapitres 5 à 7 = Commutative algebra : Chapters 5 to 7
The Mathematics Elements of Nicolas BOURBAKI aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations.This second volume of the Book of Commutative Algebra, Seventh Book of the treatise, introduces two fundamental notions in commutative algebra, that of algebraic integer and that of valuation, which have many applications in number theory and algebraic geometry.
Algèbre commutative : Chapitres 1à 4 = = Commutative algebra : Chapters 1 to 4
Nicolas BOURBAKI's Elements of Mathematics aim to provide a rigorous, systematic presentation without prerequisites of mathematics from their foundations. This first volume of the Book of Commutative Algebra, the seventh Book of the treatise, is devoted to the fundamental concepts of commutative algebra. It includes the chapters, Flat modules, Localization, Graduations, filtrations and topologies, First associated ideals and primary decomposition, It also contains historical notes. This volume is a reprint of the 1969 edition.
Algebras, Rings and Modules: Vol.1
Covers the major topics in ring and module theory and includes both fundamental classical results and more developments. This book is devoted to a study of special classes of rings and algebras, such as serial rings, hereditary rings, semidistributive rings and tiled orders.
Algebraic Theory of Locally Nilpotent Derivations
This book explores the theory and application of locally nilpotent derivations, which is a subject of growing interest and importance not only among those in commutative algebra and algebraic geometry, but also in fields such as Lie algebras and differential equations. The author provides a unified treatment of the subject, beginning with 16 First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings.
Algebraic Groups and Lie Groups with Few Factors
Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined.
Algebraic Geometry : An Introduction
The book starts with easily-formulated problems with non-trivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
Algebraic Cycles, Sheaves, Shtukas, and Moduli : Impanga Lecture Notes
The articles in this volume are devoted to: - moduli of coherent sheaves. - principal bundles and sheaves and their moduli. - new insights into Geometric Invariant Theory. - stacks of shtukas and their compactifications. - algebraic cycles vs. commutative algebra. - Thom polynomials of singularities. - zero schemes of sections of vector bundles.
Algebra 3 : Homological Algebra and Its Applications
Includes algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory.
Agent-based modeling : The Santa Fe Institute artificial stock market model revisited
An excellent reference to both the learning, and empirical literature in finance." (Krzysztof Piasecki, Zentralblatt MATH, Vol. 1141, 2008) "Norman Ehrentreich was one of the daring few to take on the model, and he has summarized his work and findings in this excellent book. … It is useful primer for anyone interested in getting started in the area of agent-based finance. … It is essential reading for anyone interested in the dynamics of the SFI market in particular, but I also recommend it for others as a useful resource on agent-based financial market design as well." (Blake LeBaron, Journal of Artificial Societies and Social Simulation, Vol. 12 (2), March, 2009)
Advances in Molecular Breeding Toward Drought and Salt Tolerant Crops
Advances in Molecular Breeding toward Drought and Salt Tolerant Crops seeks to integrate the most recent findings about key biological determinants of plant stress tolerance with modern crop improvement strategies. This volume is unique because is provides exceptionally wide coverage of current knowledge and expertise being applied in drought and salt tolerance research, spanning the scientific hierarchy from physiology, biochemistry, development, and genetics, to the newest technologies being used to manipulate drought and salinity associated traits for germplasm improvement. This book will be an invaluable reference for educators and researchers in agronomy and horticulture, crop breeding, molecular genetics, and biotechnology.
Advances in cryptology - EUROCRYPT 90 ; Workshop on the theory and application of cryptographic techniques, Aarhus, Denmark, May 21-24, 1990. Proceedings
Eurocrypt is a conference devoted to all aspects of cryptologic research, both theoretical and practical, sponsored by the International Association for Cryptologic Research (IACR). Eurocrypt 90 took place in Åarhus, Denmark, in May 1990. From the 85 papers submitted, 42 were selected for presentation at the conference and for inclusion in this volume. In addition to the formal contributions, short abstracts of a number of informal talks are included in these proceedings. The proceedings are organized into sessions on protocols, number-theoretic algorithms, boolean functions, binary sequences, implementations, combinatorial schemes, cryptanalysis, new cryptosystems, signatures and authentication, and impromptu talks.
Advances in Bioactivation Research
This volume provides researchers with recent information on bioactivation reactions of drugs and toxicants. In other sections, focus is on recent applications of bioactivation research in pharmacology, toxicology, and environmental health sciences, where contributors demonstrate the integration of bioactivation research.
Accelerator-Driven System at Kyoto University Critical Assembly
This book is a unique compilation of experimental benchmark analyses of the accelerator-driven system (ADS) at the Kyoto University Critical Assembly (KUCA) on the most recent advances in the development of computational methods.
Abstract Algebra
In Abstract Algebra the first chapters blend standard contents with a careful introduction to proofs with arrowsand in the last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra.
A Singular Introduction to Commutative Algebra
Aims to lead a further stage in the computational revolution in commutative algebra. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.
A First Course in Harmonic Analysis
This book is a primer in harmonic analysis using an elementary approach. Its first aim is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Secondly, it makes the reader aware of the fact that both, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The third goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. There are two new chapters in this new edition. One on distributions will complete the set of real variable methods introduced in the first part. The other on the Heisenberg Group provides an example of a group that is neither compact nor abelian, yet is simple enough to easily deduce the Plancherel Theorem.
25 Years of P53 Research
Communication, awareness and access to information: Given the complexity of the field and the fact that data pertaining to each particular aspects of p53 biology or deregulation are scattered in many different publications, it is extremely difficult to access the full scale of relevant information of any specific p53-related topic. This book may help in this task by putting into perspective both general considerations on the p53 pathway and more specific information on various aspects of p53. In the longer term, however, open access to p53 complexity will require the development of knowledge bases accessible through the web and using simple navigation tools to guide users towards the specific information they need. Several efforts are currently being developed in that direction. They need to be strenghtened and better integrated within the rapidly growing galaxy of web-based information sources on molecular and individual variations in cancer. 2. Reference functional assays and structural analysis: Given the huge diversity of cellular and animal models for wild-type or mutant p53 functions, it will be important to set up standard, universally accepted assays to measure critical p53 protein functions.
