| Full text | |
| Author(s): |
Callejas-Bedregal, R.
;
Jorge Perez, V. H.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Colloquium Mathematicum; v. 148, n. 1, p. 27-37, 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
Let R = circle plus(infinity)(n = 0) R-n be a standard graded algebra and M = circle plus(infinity)(n = 0) M-n a graded Noetherian R-module. The main objective of this work is to derive a Lech type formula for a sequence of homogeneous elements a(1) , . . . , a(m) of degree one which form a g-multiplicity system of R. We also extend to this context the well known Serre Theorem, that is, we prove that for t >> 0 the g-multiplicity symbol e(t) (a(1) , . . . , a(m); R), introduced by Kirby (1987), coincides with the Buchsbaum-Rim multiplicity e(BR) (I; R) of the R-0-module I generated by a(1) , . . . , a(m). (AU) | |
| FAPESP's process: | 12/20304-1 - Multiplicity, mixed multiplicities, Hilbert coefficient for modules and equisingularity |
| Grantee: | Victor Hugo Jorge Pérez |
| Support Opportunities: | Scholarships abroad - Research |