Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings. arXiv:2409.03176
Preprint, arXiv:2409.03176 [math.AC] (2024).
Summary: In this paper, we study edge rings and their \(h\)-polynomials. We investigate when edge rings are pseudo-Gorenstein, which means that the leading coefficients of the \(h\)-polynomials of edge rings are equal to \(1\). Moreover, we compute the \(h\)-polynomials of a special family of edge rings and show that some of them are almost Gorenstein.
MSC:
| 13D40 | Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series |
| 13F55 | Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes |
| 13F65 | Commutative rings defined by binomial ideals, toric rings, etc. |
| 05C25 | Graphs and abstract algebra (groups, rings, fields, etc.) |
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