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Original Articles

Koszul filtrations and finite lattices

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Pages 4691-4695 | Received 19 Sep 2016, Published online: 13 Apr 2017

References

  • Conca, A., Trung, N. V., Valla, G. (2001). Koszul property for points in projective spaces. Math. Scand. 89:201–216.
  • Decker, W., Greuel, G. M., Pfister, G., Schönemann, H. (2016). Singular 4-1-0 – A computer algebra system for polynomial computations. Available at: http://www.singular.uni-kl.de
  • Ene, V., Herzog, J., Hibi, T. (2015). Linear flags and Koszul filtrations. Kyoto J. Math. 55:517–530.
  • Ene, V., Hibi, T. (2013). The join-meet ideal of a finite lattice. J. Commun. Algebra 5(2):209–230.
  • Herzog, J., Hibi, T., Restuccia, G. (2000). Strongly Koszul algebras. Math. Scand. 86:161–178.
  • Hibi, T. (1987). Distributive lattices, affine semigroup rings and algebras with straightening laws. In: Nagata, M., Matsumura, H., eds. Commutative Algebra and Combinatorics, Advanced Studies in Pure Mathematics, Vol. 11. North–Holland: Amsterdam, pp. 93–109.
  • Stanley, R. P. (1986). Enumerative Combinatorics, Vol. 1. Monterey, CA: Wadsworth and Brooks/Cole.

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