Authors
Citation
G. Agnarsson, THE NUMBER OF OUTSIDE CORNERS OF MONOMIAL IDEALS, Journal of pure and applied algebra, 117, 1997, pp. 3-21
Citations number
5
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
00224049
Volume
117
Year of publication
1997
Pages
3 - 21
Database
ISI
SICI code
0022-4049(1997)117:<3:TNOOCO>2.0.ZU;2-S
Abstract
The outside corners of a monomial ideal are the maximal standard monom
ials module that ideal. Let c(n)(p) be the maximal number of outside c
orners of any monomial ideal generated by p monomials in n variables.
We show that c(n)(p) = Theta(p([n/2])) for fixed n. An exact calculati
on for n = 4 shows that the function c(n)(p) is not a polynomial in p.
(C) 1997 Elsevier Science B.V.