GROWTH OF BETTI NUMBERS OF MODULES OVER LOCAL-RINGS OF SMALL EMBEDDING CODIMENSION OR SMALL LINKAGE NUMBER

Authors
SUN LC
Citation
Lc. Sun, GROWTH OF BETTI NUMBERS OF MODULES OVER LOCAL-RINGS OF SMALL EMBEDDING CODIMENSION OR SMALL LINKAGE NUMBER, Journal of pure and applied algebra, 96(1), 1994, pp. 57-71
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
96
Issue
1
Year of publication
1994
Pages
57 - 71
Database
ISI
SICI code
0022-4049(1994)96:1<57:GOBNOM>2.0.ZU;2-0
Abstract
In this paper, we show that for modules over the local rings described in the title, if the radius of convergence of the Poincare series is less than one, then the Betti sequence is eventually nondecreasing and has strong exponential growth.