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Standard bases and homology

Part of the Lecture Notes in Mathematics book series (LNM,volume 1352)

Keywords

  • Standard Basis
  • Homology Class
  • Complete Reduction
  • Hilbert Series
  • Homogeneous Element

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References

  1. A.I. Shirshov, Selected works. Nauka, Novosibirsk, 1984 (in Russian).

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  2. G.M. Bergman, The diamond lemma for ring theory, Adv. Math., 29, (1978), No 2, 178–218.

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  3. B.Buchberger, Gröbner bases: An algorithmic method in polynomial ideal theory. CAMP-Publ., No 83-29.0, Nov. 1983.

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  4. V.N. Latyshev, On the equality algorithm in Lie-nilpotent associative algebras, Vestn. Kiev. Univ., Math. Mech., 27, (1985), 67 (in Ukrainian).

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  5. E.S. Golod, I.R. Shafarevich, On the class-field tower. Izv. Akad. Nauk SSSR, Ser. Math., 1964, 28, No 2, 261–272 (in Russian).

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  6. D. Anick, Non-commutative graded algebras and their Hilbert series, J. Algebra 78 (1982), 120–140.

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© 1988 Springer-Verlag

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Golod, E.S. (1988). Standard bases and homology. In: Avramov, L.L., Tchakerian, K.B. (eds) Algebra Some Current Trends. Lecture Notes in Mathematics, vol 1352. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082019

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  • DOI: https://doi.org/10.1007/BFb0082019

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50371-2

  • Online ISBN: 978-3-540-45994-1

  • eBook Packages: Springer Book Archive