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Periodic modules over general quantum Laurent polynomials

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Abstract

We construct, by induction on the number of variables, periodic finitely generated modules over general quantum Laurent polynomials.

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References

  1. V. A. Artamonov, “Projective modules over quantum algebras of polynomials,”Mat. Sb. [Russian Acad. Sci. Sb. Math.]185, No. 7, 3–12 (1994).

    MATH  MathSciNet  Google Scholar 

  2. V. A. Artamonov, “Modules over quantum polynomials,”Mat. Zametki [Math. Notes],59, No. 4, 497–503 (1996).

    MATH  MathSciNet  Google Scholar 

  3. D. Passman,Infinite Crossed Products, Acad. Press, San Diego (1989).

    Google Scholar 

  4. J. Alev and M. Chamarie, “Derivations et automorphismes de quelques algèbres quantiques,”Comm Algebra 20, No. 6, 1787–1802 (1992).

    MathSciNet  Google Scholar 

  5. D. A. Jordan, “Krull and global dimensions of certain iterated skew polynomial rings,”Contemp. Math.,130, 201–213 (1992).

    MATH  Google Scholar 

  6. M. J. Osborn and D. S. Passman, “Derivations of skew polynomial rings,”J. Algebra,176, 417–448 (1995).

    Article  MathSciNet  Google Scholar 

  7. E. E. Demidov, “On certain aspects of the theory of quantum groups,”Uspekhi Mat. Nauk [Russian Math. Surveys],48, No. 6, 39–74 (1993).

    MATH  MathSciNet  Google Scholar 

  8. S. Montgomery,Hopf Algebras and Their Actions on Rings, Conference Board of Math. Soc., Vol. 82, Amer. Math. Soc. Providence (1993).

    Google Scholar 

  9. J. C. McConnell and J. J. Pettit, “Crossed products and multiplicative analogues of Weyl algebras,”J. London Math. Soc.,38, No. 1, 47–55 (1988).

    MathSciNet  Google Scholar 

  10. T. Y. Lam,Serre's Conjecture, Lecture Notes in Math., Vol. 635, Springer-Verlag, Berlin (1978).

    Google Scholar 

  11. N. Bourbaki,Algèbre commutative Eléments de math.,27, 28, 30, 31. Hermann, Paris (1961–1965).

    Google Scholar 

  12. T. J. Hodges and J. C. McConnell, “On Ore and skew-Laurent extensions of Noetherian rings”J. Algebra,73, No. 1, 56–64 (1981).

    MathSciNet  Google Scholar 

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Translated fromMatematicheskie Zametki, Vol. 61, No. 1, pp. 10–17, January, 1997.

Translated by A. I. Shtern

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Artamonov, V.A. Periodic modules over general quantum Laurent polynomials. Math Notes 61, 9–15 (1997). https://doi.org/10.1007/BF02355002

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