Truncations of the ring of number-theoretic functions
| dc.creator | Snellman, Jan | |
| dc.date | 1999-04-26 | |
| dc.date | 2000-02-03 | |
| dc.date.accessioned | 2026-07-07T05:28:49Z | |
| dc.date.available | 2026-07-07T05:28:49Z | |
| dc.description | We study the ring of all functions from the positive integers to some field. This ring, which we call \emph{the ring of number-theoretic functions}, is an inverse limit of the ``truncations'' Γ_n consisting of all functions f for which f(m)=0 whenever m > n. Each Γ_n is a zero-dimensional, finitely generated (K)-algebra, which may be expressed as the quotient of a finitely generated polynomial ring with a \emph{reversely stable} monomial ideal. Using the description of the free minimal resolution of stable ideals, given by Eliahou-Kervaire, and some additional arguments by Aramova-Herzog and Peeva, we give the Poincaré-Betti series for Γ_n. | |
| dc.description | 10 pages, no figures, 3 tables | |
| dc.identifier | https://arxiv.org/abs/math/9904143 | |
| dc.identifier | http://arxiv.org/abs/math/9904143 | |
| dc.identifier | Homology, Homotopy and Applications, volume 2, pp 17-27, 2000 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78405 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13Dxx; 10.00 | |
| dc.title | Truncations of the ring of number-theoretic functions | |
| dc.type | text |