Read Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems (Monographs and Research Notes in Mathematics)

Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems (Monographs and Research Notes in Mathematics)

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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, Poincar�-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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems (Monographs and Research Notes in Mathematics). To get started finding Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems (Monographs and Research Notes in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
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Format: PDF, EPUB & Kindle Edition

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Release: 2015

ISBN: 1498720099

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, Poincar�-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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems (Monographs and Research Notes in Mathematics). To get started finding Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems (Monographs and Research Notes in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems (Monographs and Research Notes in Mathematics)

Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems (Monographs and Research Notes in Mathematics)

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