Hiroshima Mathematical Journal

Study of three-dimensional algebras with straightening laws which are Gorenstein domains. III

Takayuki Hibi

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 18, Number 2 (1988), 299-308.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206129725

Digital Object Identifier
doi:10.32917/hmj/1206129725

Mathematical Reviews number (MathSciNet)
MR955372

Zentralblatt MATH identifier
0656.13024

Subjects
Primary: 13H10: Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also 14M05]

Citation

Hibi, Takayuki. Study of three-dimensional algebras with straightening laws which are Gorenstein domains. III. Hiroshima Math. J. 18 (1988), no. 2, 299--308. doi:10.32917/hmj/1206129725. https://projecteuclid.org/euclid.hmj/1206129725


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References

  • [1] D. Eisenbud, Introduction to algebras with straightneing laws, Ring Theory and Algebra III, Proc. of the third Oklahoma Conf. (B. R. McDonald, ed.), Lect. Notes in Pure and Appl. Math. No. 55, Dekker, New York, 1980, 243-268.
  • [2] T. Hibi, Distributive lattices, affine semigroup rings and algebras with straightening laws, Proc. of USA-Japan Workshop on Commutative Algebra and Combinatorics (M. Nagata and H. Matsumura, eds.), Advanced Studies in Pure Math., Vol. 11, North- Holland, Amsterdam, 1987, 93-109.
  • [3] T. Hibi, Level rings and algebras with straightening laws, J. of Algebra, in press.
  • [4] T. Hibi, Classification of integral trees, Order 3 (1987), 383-389.
  • [5] T. Hibi, Canonical ideals of Cohen-Macaulay partially ordered sets, to appear in Nagoya Math. J. 112 (1988).
  • [6] T. Hibi and K.-i. Watanabe, Study of three-dimensionalalgebras with straighteninglaws which are Gorenstein domains I, Hiroshima Math. J. 15 (1985), 27-54.
  • [7] T. Hibi and K.-i. Watanabe, Study of three-dimensional algebras with straightening laws which are Gorenstein domains II, Hiroshima Math. J. 15 (1985), 321-340.
  • [8] M. Hochster, Ringsof invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann. of Math. 96 (1972), 318-337.
  • [9] R. Stanley, Hubert functions of graded algebras, Advances in Math. 28 (1978), 57-83.

See also

  • Part I: Takayuki Hibi, Keiichi Watanabe. Study of three-dimensional algebras with straightening laws which are Gorenstein domains. I. Hiroshima Math. J., Volume 15, Number 1, (1985), 27--54.
  • Part II: Takayuki Hibi, Keiichi Watanabe. Study of three-dimensional algebras with straightening laws which are Gorenstein domains. II. Hiroshima Math. J., Volume 15, Number 2, (1985), 321--340.