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Prime ideals in skew and q-skew polynomial rings / [electronic resource] K.R. Goodearl, E.S. Letzter.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 521Publication details: Providence, R.I. : American Mathematical Society, 1994.Description: 1 online resource (vi, 106 p. : ill.)ISBN:
  • 9781470400989 (online)
Subject(s): Additional physical formats: Prime ideals in skew and q-skew polynomial rings /DDC classification:
  • 510 s 512/.4 20
LOC classification:
  • QA3 .A57 no. 521 QA247
Online resources:
Contents:
1. Introduction 2. Preliminaries for $S$ = $R$[$y; \tau , \delta $] 3. Tau-delta-prime coefficient rings 4. Each prime ideal of $S$ is associated to a unique $\tau $-orbit in spec$R$ 5. Annihilator primes and induced bimodules 6. Prime ideals in quadratic (-1)-skew extensions 7. Prime ideals in $S$ associated to infinite orbits. The general case 8. Prime ideals in $S$ associated to infinite orbits. The $q$-skew case 9. Prime ideals in $S$ associated to finite orbits. The general case 10. Prime ideals in $S$ associated to finite orbits. The $q$-skew case 11. Classification of prime ideals in $q$-skew extensions 12. Irreducible finite dimensional representations of $q$-skew extensions 13. Quantized Weyl algebras 14. Prime factors of coordinate rings of quantum matrices 15. Chains of prime ideals in iterated Ore extensions
Item type: E-BOOKS
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IMSc Library IMSc Library Link to resource Available EBK12974

"May 1994, volume 109, number 521 (first of 5 numbers)."

Includes bibliographical references (p. 104-106).

1. Introduction 2. Preliminaries for $S$ = $R$[$y; \tau , \delta $] 3. Tau-delta-prime coefficient rings 4. Each prime ideal of $S$ is associated to a unique $\tau $-orbit in spec$R$ 5. Annihilator primes and induced bimodules 6. Prime ideals in quadratic (-1)-skew extensions 7. Prime ideals in $S$ associated to infinite orbits. The general case 8. Prime ideals in $S$ associated to infinite orbits. The $q$-skew case 9. Prime ideals in $S$ associated to finite orbits. The general case 10. Prime ideals in $S$ associated to finite orbits. The $q$-skew case 11. Classification of prime ideals in $q$-skew extensions 12. Irreducible finite dimensional representations of $q$-skew extensions 13. Quantized Weyl algebras 14. Prime factors of coordinate rings of quantum matrices 15. Chains of prime ideals in iterated Ore extensions

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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