Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition: 16 (Monographs and Research Notes in Mathematics) - Image 1

£109.50

CRC Press Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition: 16 (Monographs and Research Notes in Mathematics)

Name: Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition: 16 (Monographs and Research Notes in Mathematics)
Brand: CRC Press
Price: 109.5 GBP
Availability: InStock

5 black & white illustrations

Algebra

Price History & Forecast

Last 44 days • 44 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 44 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £110 (28 days, 63.6%)

Price range: £110 - £166

Price levels: 2 different prices over 44 days

Description

Product Description Computational Aspects of Polynomial Identities: Volume l, Kemer’s Theorems, 2nd Edition presents the underlying ideas in recent polynomial identity (PI)-theory and demonstrates the validity of the proofs of PI-theorems. This edition gives all the details involved in Kemer’s proof of Specht’s conjecture for affine PI-algebras in characteristic 0. The book first discusses the theory needed for Kemer’s proof, including the featured role of Grassmann algebra and the translation to superalgebras. The authors develop Kemer polynomials for arbitrary varieties as tools for proving diverse theorems. They also lay the groundwork for analogous theorems that have recently been proved for Lie algebras and alternative algebras. They then describe counterexamples to Specht’s conjecture in characteristic p as well as the underlying theory. The book also covers Noetherian PI-algebras, Poincaré–Hilbert series, Gelfand–Kirillov dimension, the combinatoric theory of affine PI-algebras, and homogeneous identities in terms of the representation theory of the general linear group GL. Through the theory of Kemer polynomials, this edition shows that the techniques of finite dimensional algebras are available for all affine PI-algebras. It also emphasizes the Grassmann algebra as a recurring theme, including in Rosset’s proof of the Amitsur–Levitzki theorem, a simple example of a finitely based T-ideal, the link between algebras and superalgebras, and a test algebra for counterexamples in characteristic p. About the Author Alexei Kanel-Belov is a professor in the Department of Mathematics at Bar-Ilan University. His research interests include ring theory, semigroup theory, polynomial automorphisms, quantization, symbolical dynamic combinatorial geometry and its mechanical applications, elementary mathematics, and mathematical education. Yakov Karasik completed his doctorate at the Department of Mathematics at Technion - Israel Institute of Technology. Louis Halle Rowen is a professor in the Department of Mathematics at Bar-Ilan University. His research interests include noncommutative algebra, finite dimensional division algebras, the structure theory of rings, and tropical algebras.

Product Specifications

Brand: CRC Press
Model: 5 black & white illustrations
Format: Hardcover
ASIN: 1498720080
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 23 October 2015
Listed Since: 02 February 2015

Barcode

No barcode data available

CRC Press Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition: 16 (Monographs and Research Notes in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Computational Aspects of Polynomial Identities: 9 (Research Notes in Mathematics)

Rings with Polynomial Identities and Finite Dimensional Representations of Algebras (Colloquium Publications)

Polynomial Identities and Asymptotic Methods (Mathematical Surveys & Monographs)

Rings, Polynomials, and Modules

Dimensions of Affine Deligne-Lusztig Varieties: A New Approach Via Labeled Folded Alcove Walks and Root Operators (Memoirs of the American Mathematical Society)

Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers: 28 (Algorithms and Computation in Mathematics, 28)

Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)

Effective Methods in Algebraic Geometry: 94 (Progress in Mathematics)

Basic Algebraic Geometry (Springer Study Edition)

Hereditary Noetherian Prime Rings and Idealizers (Mathematical Surveys and Monographs)

Connective Real K-theory of Finite Groups: 169 (Mathematical Surveys and Monographs)

Representations of Hecke Algebras at Roots of Unity: 15 (Algebra and Applications, 15)

Springer Computational Invariant Theory: 130 Mathematics Book

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)

Kommutative Algebra und Algebraische Geometrie

Affine Algebraic Geometry: Geometry Of Polynomial Rings: 11 (Series on University Mathematics)

Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday

Quadratic Forms, Linear Algebraic Groups, and Cohomology: 18 (Developments in Mathematics, 18)

The Absolute Galois Group of a Semi-Local Field (Springer Monographs in Mathematics)

De Gruyter - The Adjunction Theory of Complex Projective Varieties

Geometry of Moduli Spaces and Representation Theory (IAS/Park City Mathematics Series)

Vector Bundles on Complex Projective Spaces: 3 (Progress in Mathematics, 3)

Skew PBW Extensions: Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications: 28 (Algebra and Applications, 28)

Polynomial Rings and Affine Algebraic Geometry: PRAAG 2018, Tokyo, Japan, February 12-16: 319 (Springer Proceedings in Mathematics & Statistics, 319)