THE REDUCTION NUMBER OF AN ALGEBRA

Authors
VASCONCELOS WV
Citation
Wv. Vasconcelos, THE REDUCTION NUMBER OF AN ALGEBRA, Compositio mathematica, 104(2), 1996, pp. 189-197
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Compositio mathematica → ACNP
ISSN journal
0010437X
Volume
104
Issue
2
Year of publication
1996
Pages
189 - 197
Database
ISI
SICI code
0010-437X(1996)104:2<189:TRNOAA>2.0.ZU;2-L
Abstract
A complexity of an algebra A over a field k is a measure of comparison to a polynomial ring over k. Here we bring to the fore the reduction number of a graded algebra A, and study its relationship to the arithm etic degree of A. The relationship between the reduction number and th e Castelnuovo-Mumford regularity has been object of previous studies, but a presumed relationship CM regularity and arithmetic degree breaks down.