Algebra IV, A.Yu. Ol`shanskij; J. Wiegold; A.I. Kostrikin; A.L

Автор: Igor R. Shafarevich; Aleksej I. Kostrikin; M. Reid
Название: Basic Notions of Algebra
ISBN: 364242516X ISBN-13(EAN): 9783642425165
Издательство: Springer
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Описание: Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science.

Автор: Kostrikin A. I.
Название: Algebra
ISBN: 364208124X ISBN-13(EAN): 9783642081248
Издательство: Springer
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Описание: This monograph contains two self-contained surveys of key aspects of algebra, complete with definitions and simple properties and references to proofs in the literature. The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics.

Автор: Eisenbud, David
Название: Commutative algebra
ISBN: 0387942696 ISBN-13(EAN): 9780387942698
Издательство: Springer
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Цена: 5583.00 р.
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Описание: This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics.

Автор: Zariski
Название: Commutative Algebra II
ISBN: 038790171X ISBN-13(EAN): 9780387901718
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Covers topics such as valuation theory; theory of polynomial and power series rings; and local algebra. This volume includes the algebro-geometric connections and applications of the purely algebraic material.

Автор: Lal, Ramji
Название: Algebra 2
ISBN: 9811042551 ISBN-13(EAN): 9789811042553
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Chapter 1. Vector Space.- Chapter 2. Matrices and Linear Equations.- Chapter 3. Linear Transformations.- Chapter 4. Inner Product Space.- Chapter 5. Determinants and Forms.- Chapter 6. Canonical Forms, Jordan and Rational Forms.- Chapter 7. General Linear Algebra.- Chapter 8. Field Theory, Galois Theory.- Chapter 9. Representation Theory of Finite Groups.- Chapter 10. Group Extensions and Schur Multiplier.

Автор: Lal, Ramji
Название: Algebra 1
ISBN: 9811042527 ISBN-13(EAN): 9789811042522
Издательство: Springer
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Цена: 10480.00 р.
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Описание:

Chapter 1. Language of mathematics 1 (Logic).- Chapter 2. Language Of Mathematics 2 (Set Theory).- Chapter 3. Number System.- Chapter 4. Group Theory.- Chapter 5. Fundamental Theorems.- Chapter 6. Permutation groups and Classical Groups.- Chapter 7. Elementary Theory of Rings and Fields.- Chapter 8. Number Theory 2.- Chapter 9. Structure theory of groups.- Chapter 10. Structure theory continued.- Chapter 11. Arithmetic in Rings.

Автор: Abdenacer Makhlouf; Eugen Paal; Sergei D. Silvestr
Название: Algebra, Geometry and Mathematical Physics
ISBN: 3642553605 ISBN-13(EAN): 9783642553608
Издательство: Springer
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Цена: 18167.00 р.
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Описание:

Part I Algebra: Poincarй duality for Koszul algebras: M.Dubois-Violette.- Poincarй duality for Koszul algebras: M. Dubois-Violette.- Quantized reduced fusion elements and Kostant's problem: E. Karolinsky et al.- Commutants and centers in a 6-parameter family of quadratically linked quantum plane algebras: F. Ekstrцm et al.- Burchnall-Chaundy theory for Ore extensions: J. Richter.- Homotopy commutative algebra and 2-nilpotent Lie algebra: M. Dubois-Violette et al.- Subalgebra depths within the path algebra of an acyclic quiver: L. Kadison et al.- Lie algebras with given properties of subalgebras and elements: P. Zusmanovich.- Construction of symplectic quadratic Lie algebras from Poisson algebras: S. Benayadi.- Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras: J. Arnlind et al.- A review of Peirce decomposition for unitary (-1, -1)-Freudenthal Kantor triple systems: N. Kamiya et al.- Universal Algebra Applied to Hom-Associative Algebras and More: L. Hellstrцm et al.- Constructions of Quadratic n-ary Hom-Nambu algebras: F. Ammar et al.- A comparison of Leibniz and Lie cohomology and deformations: A. Fialowski.- Rigid current Lie algebras: E. Remm et al.- Deformations of Diagrams: A. Siqveland.- Noncommutative Algebraic Varieties: A. Siqveland.- Computing noncommutative deformations: E. Eriksen.- Geometric Classification of 4-Dimensional Superalgebras: A. Armour et al.- Distributivity in Quandles and Quasigroups: M. Elhamdadi.- Part II Geometry: Torsors and ternaryMoufang loops arising in projective geometry: W. Bertram.- Graded q-differential polynomial algebra of connection form: V. Abramov et al.- Double category related to path space parallel transport and representations of Lie 2 groups: S. Chatterjee et al.- A note on jet and geometric approach to higher order connections: M. Rahula et al.- Classification of principal connections on]W 2PE: J. Vondra.- The generic rank of A-planar structures: J. Hrdina.- Geometric Approach to Ghost Fields: V. Abramov et al.- On Sinyukov's equations in their relation to a curvature operator of second kind: I. Hinterleitner et al.- On dimensions of vector spaces of conformal Killing forms: S. E. Stepanov.- Part III Dynamical Symmetries and Conservation Laws: Causality from dynamical symmetry: an example from local scale-invariance: M. Henkel.- Reaction-diffusion systems with constant diffusivities: conditional symmetries and form-preserving transformations: C. Roman et al.- Solution to the inverse problem of reconstructing permittivity of an n-sectional diaphragm in a rectangular waveguide: Yu. G. Smirnov et al.- Some conservation laws for a class of Hamilton-Jacobi-Bellman equations: M.L. Gandarias et al.- Self-adjointness and conservation laws for a Generalized Dullin-Gottwald-Holm equation: M. S. Bruzуn et al.- Semi analytical Solutions of a Heat-Mass Transfer Problem via Group Theoretic Approach: M.B. Abd-el-Malek et al.- Part IV Mathematical Physics and Applications: Realizations of Affine Lie Algebra A(1) 1 at Negative Levels: J. Dong et al.- Invariance and symmetries of cubic and ternary algebras: R. Kerner.- Calculation of Decay Times for Simple Modules: O. Gravir Imenes.- On the Detection of Permutation Polynomials: M. Gharibah.- Scalar-tensor and multiscalar-tensor gravity and cosmological models: P. Kuusk et al.- Index.

Автор: Toke M. Carlsen; S?ren Eilers; Gunnar Restorff; Se
Название: Operator Algebra and Dynamics
ISBN: 3662512416 ISBN-13(EAN): 9783662512418
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

Based on presentations given at the NordForsk Network Closing Conference "Operator Algebra and Dynamics," held in Gj argar ur, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.

It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filtered K-theory over finite topological spaces, C*-algebras associated to shift spaces (or subshifts), graph C*-algebras, irrational extended rotation algebras that are shown to be C*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras, Cuntz-Li algebras associated with the a-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossed products), the interplay between dynamical systems, operator algebras and wavelets on fractals, C*-completions of the Hecke algebra of a Hecke pair, semiprojective C*-algebras, and the topological dimension of type I C*-algebras.

Operator Algebra and Dynamics will serve as a useful resource for a broad spectrum of researchers and students in mathematics, physics, and engineering.