Rational Formulas for Traces in zero-dimensional Algebras
| dc.creator | D'Andrea, Carlos | |
| dc.creator | Jeronimo, Gabriela | |
| dc.date | 2005-03-30 | |
| dc.date | 2008-11-20 | |
| dc.date.accessioned | 2026-07-07T10:19:33Z | |
| dc.date.available | 2026-07-07T10:19:33Z | |
| dc.description | We present a rational expression for the trace of the multiplication map M_r in a finite-dimensional algebra of the form A:=K[x_1,...,x_n]/I in terms of the generalized Chow form of I. Here, I is a zero-dimensional ideal of K[x_1,...,x_n] is a zero-dimensional ideal, K is a field of characteristic zero, and r(x_1,..., x_n) a rational function whose denominator is not a zero divisor in A. If I is a complete intersection in the torus, we get numerator and denominator formulas for traces in terms of sparse resultants. | |
| dc.description | 11 pages, latex document, revised version accepted for publication in the AAECC Journal | |
| dc.identifier | https://arxiv.org/abs/math/0503721 | |
| dc.identifier | http://arxiv.org/abs/math/0503721 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174551 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 14Q10, 68W30 | |
| dc.title | Rational Formulas for Traces in zero-dimensional Algebras | |
| dc.type | text |