Computational Aspects of Polynomial Identities

AvAlexei Kanel-Belov,Louis Halle Rowen

Häftad, Engelska, 2019

996 kr

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1 025 kr

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3 010 kr

3 010 kr

Beskrivning

A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation. The authors also cover codimension theory, starting with Regev's theorem and continuing through the Giambruno-Zaicev exponential rank. The "best" proofs of classical results, such as the existence of central polynomials, the tensor product theorem, the nilpotence of the radical of an affine PI-algebra, Shirshov's theorem, and characterization of group algebras with PI, are presented.

Produktinformation

Utgivningsdatum:2019-12-02
Mått:152 x 229 x 22 mm
Vikt:453 g
Format:Häftad
Språk:Engelska
Antal sidor:400
Förlag:Taylor & Francis Ltd
ISBN:9780367446505

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Kanel-Belov, Alexei; Rowen, Louis Halle

Innehållsförteckning

1. Basic Results 2. Affine Pl-algebras 3. T-ldeals and Relatively Free Algebras 4. Specht's Problem in the Affine Case 5. Representations of Sn and Their Applications 6. Superidentities and Kemer's Main Theorem 7. Pi-Algebras in Characteristic p 8. Recent Structural Results 9. Poincare-Hilbert Series and Gelfand-Kirillov Dimension 10. More Representation Theory 11. Unified Theory of Identities 12. Trace Identities 13. Exercises 14. Lists of Theorems and Examples 15. Some Open Questions

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Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

1 025 kr

Kommande

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Produktinformation

Utgivningsdatum:2019-12-02
Mått:152 x 229 x 22 mm
Vikt:453 g
Format:Häftad
Språk:Engelska
Antal sidor:400
Förlag:Taylor & Francis Ltd
ISBN:9780367446505

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Kanel-Belov, Alexei; Rowen, Louis Halle

Innehållsförteckning

1. Basic Results 2. Affine Pl-algebras 3. T-ldeals and Relatively Free Algebras 4. Specht's Problem in the Affine Case 5. Representations of Sn and Their Applications 6. Superidentities and Kemer's Main Theorem 7. Pi-Algebras in Characteristic p 8. Recent Structural Results 9. Poincare-Hilbert Series and Gelfand-Kirillov Dimension 10. More Representation Theory 11. Unified Theory of Identities 12. Trace Identities 13. Exercises 14. Lists of Theorems and Examples 15. Some Open Questions