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Classical algebraic K-theory of monid algebras

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K-theory and Homological Algebra

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1437))

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References

  1. Anderson D.D., Anderson D.F., Divisorial ideals in a graded integral domain, J. of Algebra 76, 549–569, 1982.

    Article  MathSciNet  MATH  Google Scholar 

  2. Anderson D.F., Projective modules over subrings of k[X,Y] generated by monomials, Pacific J. Math. 79, 5–17, 1978.

    Article  MathSciNet  MATH  Google Scholar 

  3. Anderson D.F., The picard group of a monoid domain, J. of Algebra 115, 342–531, 1988.

    Article  MathSciNet  MATH  Google Scholar 

  4. Bass H., Algebraic K-theory, New York, W.A. Benjamin, 1968.

    MATH  Google Scholar 

  5. Bass H., Some problems in "classical" algebraic K-theory, Lecture Notes in Math. 342, New York, Springer Verlag, 3–73, 1973.

    MATH  Google Scholar 

  6. Bass H., Introduction to some methods of algebraic K-theory, Reg. Conf. Ser. in Math. No 20, Rhode Island, 1974.

    Google Scholar 

  7. Bass H., Heller A., Swan R.G., The Whitehead group of a polynomial extension, Publ. Math. I. H. E. S. 22, 61–80, 1964.

    Article  MathSciNet  MATH  Google Scholar 

  8. Chouinard L.G., Krull semigroups and divisor class groups, Canad. J. Math. 33, 1459–1468, 1981.

    Article  MathSciNet  MATH  Google Scholar 

  9. Chouinard L.G., Projective modules over Krull semigroups, Michigan Math. J. 29, 143–148, 1982.

    Article  MathSciNet  MATH  Google Scholar 

  10. Danilov V.I., Geometry of toric varieties, Uspeckhi Mat. Nauk 33, 85–134, 1978 (Russian).

    MathSciNet  MATH  Google Scholar 

  11. Gilmer R., Commutative semigroup rings, Chicago Lectures in Math., Chicago U.P., 1984.

    Google Scholar 

  12. Gubeladze J., Anderson's conjecture and maximal class of monoids over which projective modules are free, Matematicheski Sbornik 135 (177), 169–185, 1988 (Russian).

    MathSciNet  MATH  Google Scholar 

  13. Gubeladze J., On "classical" algebraic K-theory of monoid algebras, Bull. of the Academy of Sc. of the Georgian SSR 130, 469–471 (Russian), 1988.

    MathSciNet  MATH  Google Scholar 

  14. Knus M.A., Ojanguren M., A Mayer — Vietoris sequence for the Brauer group, J. Pure and Appl. Algebra 5, 345–360, 1974.

    Article  MathSciNet  MATH  Google Scholar 

  15. Milnor J., Introduction to algebraic K-theory, Annals of Math. Studies no. 72, Princeton U.P., 1971.

    Google Scholar 

  16. Quillen D., Projective modules over polynomial rings, Invent. Math. 36, 167–171, 1976.

    Article  MathSciNet  MATH  Google Scholar 

  17. Srinivas V., K1 of the cone over a curve, J. Reine Angew. Math. 381, 37–50, 1987.

    MathSciNet  MATH  Google Scholar 

  18. Suslin A.A. Projective modules over polynomial rings are free, Dokl. Akad. Nauk. 229, 221–238, 1976.

    MathSciNet  MATH  Google Scholar 

  19. Suslin A.A. On the structure of the special linear group over polynomial rings, Math. USSR Izvestija, 11, 221–238, 1977.

    Article  MATH  Google Scholar 

  20. Swan R.G., On seminorality, J. of Algebra 67, 210–229, 1980.

    Article  MathSciNet  Google Scholar 

  21. Vorst T., A survey on the K-theory of polynomial extensions, Lecture Notes in Math. 1046, Berlin, Springer Verlag 422–441.

    Google Scholar 

  22. Vorst T., Localization of the K-theory of polynomial extensions, Math. Ann., 244, No. 1, 33–53, 1979.

    Article  MathSciNet  MATH  Google Scholar 

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Hvedri Inassaridze

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© 1990 Springer-Verlag

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Gubeladze, J. (1990). Classical algebraic K-theory of monid algebras. In: Inassaridze, H. (eds) K-theory and Homological Algebra. Lecture Notes in Mathematics, vol 1437. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086718

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  • DOI: https://doi.org/10.1007/BFb0086718

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  • Print ISBN: 978-3-540-52836-4

  • Online ISBN: 978-3-540-47162-2

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