References
- Abhyankar, S. S. (1967). Local rings of high embedding dimension. Amer. J. Math. 89(4):1073–1077.
- Bruns, W., Herzog, J. (1998). Cohen-Macaulay Rings. Cambridge, UK: Cambridge University Press.
- Eliahou, S., Herzog, J., Mohammadi Saem, M. (2018). Monomial ideals with tiny squares. J. Algebra, arXiv:1801.07672v1, 11 pages.
- Freiman, G. A. (1973). Foundations of a structural theory of set addition, Translated from the Russian. Translations of Mathematical Monographs. Vol. 37. Providence, RI: American Mathematical Society, pp. vii+108.
- Herzog, J., Hibi, T. (2010). Monomial Ideals, Graduate Texts in Mathematics 260. London: Springer.
- Herzog, J., Hibi, T., Vladoiu, M. (2005). Ideals of fiber type and polymatroids. Osaka J. Math. 42:807–829.
- Herzog, J., Mohammadi Saem, M., Zamani, N. (2017). On the number of generators of powers of an ideal. Preprint, arXiv:1707.07302, 20 pages.
- Hibi, T. (1987). Distributive lattices, affine semigroup rings and algebras with straightening laws. In: M. Nagata and H. Matsumura, eds. Proceedings USA-Japan Workshop on Commutative Algebra and Combinatorics. Advanced Studies in Pure Math., Vol. 11. North-Holland, Amsterdam, pp. 93–109.
- Katzman, M. (2005). The Hilbert series of algebras of the veronese type. Comm. Algebra 33(4):1141–1146.
- De Negri, E., Hibi, T. (1997). Gorenstein algebras of Veronese type. J. Algebra. 193(2):629–639.
- Northcott, D. G., Rees, D. (1954). Reductions of ideals in local rings. Math. Proc. Camb. Phil. Soc. 50(2):145–158.
- Sally, J. D. (1977). On the associated graded rings of a local Cohen-Macaulay ring. J. Math. Kyoto Univ. 17(1):19–21.
- Shah, K. (1991). On the Cohen-Macaulayness of the fiber cone of an ideal. J. Algebra 143(1):156–172.