Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Modulues over some localizations of the ring of laurent polynomials

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    A. V. Pazhitnov, “Sharpness of Novikov type inequalitites for the case π1 M=Zm and Morse forms whose cohomology classes are in gneeral position,” Dokl. Akad. Nauk SSSR (n press).

  2. 2.

    A. V. Pazhitnov, “Sharpness of Novikov inequalities for manifolds with free Abelian fundamental group;” Tr. Mos. Mat. Obshch. (in press).

  3. 3.

    S. P. Novikov, “Multivalued functions and functionals. Analog of Morse theory,” Dokl. Akad. Nauk SSSR,260, No. 1, 31–35 (1981).

  4. 4.

    S. P. Novikov, “Hamiltonian formalism and multivalued analog of Morse theory,” Usp. Mat. Nauk,37, No. 5, 3–49 (1982).

  5. 5.

    N. Bourbaki, Commutative Algebra [Russian translation], Nauka, Moscow (1971).

  6. 6.

    S. Lang, Algebra [Russian translation], Mir, Moscow (1968).

Download references

Author information

Additional information

Translated from Matematicheskie Zametki, Vol. 46, No. 5, pp. 40–49, November, 1989.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Pazhitnov, A.V. Modulues over some localizations of the ring of laurent polynomials. Mathematical Notes of the Academy of Sciences of the USSR 46, 856–862 (1989). https://doi.org/10.1007/BF01139617

Download citation

Keywords

  • Laurent Polynomial