DEPTH OF EDGE RINGS ARISING FROM FINITE GRAPHS

作者：Hibi Takayuki^*; Higashitani Akihiro; Kimura Kyouko; O'Keefe Augustine B

来源：Proceedings of the American Mathematical Society, 2011, 139(11): 3807-3813.

DOI：10.1090/S0002-9939-2011-11083-9

• Edge ring
• toric ideal
• finite graph
• Grobner basis
• initial ideal

Let G be a finite graph and K[G] the edge ring of G. Based on the technique of Grobner bases and initial ideals, it will be proved that, given integers f and d with 7 <= f <= d, there exists a finite graph G on [d] = {1,...,d} with depth K[G] = f and with Krull-dim K[G] = d.

• 出版日期2011-11