Computation of Poincare-Betti series for monomial rings
| dc.creator | Johansson, Mikael | |
| dc.date | 2005-02-16 | |
| dc.date.accessioned | 2026-07-07T06:33:19Z | |
| dc.date.available | 2026-07-07T06:33:19Z | |
| dc.description | The multigraded Poincare-Betti series P_R^k(x_1,...,x_n; t) of a monomial ring k[x_1,...,x_n]/<M> on a finite number of monomial generators has the form (1+tx_1)(1+tx_2)...(1+tx_n)/b_(R,k)(x_1,...,x_n; t), where b_(R,k)(x_1,...,x_n;t) is a polynomial depending only on the monomial set M and the characteristic of the field k. I present a computer program designed to calculate the polynomial b_(R,k) for a given field characteristic and a given set of monomial generators. | |
| dc.description | 8 pages, prepared for the School and Workshop on Algebraic geometry and statistics at Politecnico Torino in September 2004 | |
| dc.identifier | https://arxiv.org/abs/math/0502348 | |
| dc.identifier | http://arxiv.org/abs/math/0502348 | |
| dc.identifier | Rend. Istit. Mat. Univ. Trieste 37 (2005), no. 1-2, 85--94 (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99153 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 13D07 (Primary); 13-04 (Secondary) | |
| dc.title | Computation of Poincare-Betti series for monomial rings | |
| dc.type | text |