The chain property for the associated primes of A-graded ideals

Authors
Altmann, K
Citation
K. Altmann, The chain property for the associated primes of A-graded ideals, MATH RES LE, 7(5-6), 2000, pp. 565-575
Citations number
7
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
7
Issue
5-6
Year of publication
2000
Pages
565 - 575
Database
ISI
SICI code
1073-2780(200009/11)7:5-6<565:TCPFTA>2.0.ZU;2-3
Abstract
We investigate how the chain property for the associated primes of monomial degenerations of toric (or lattice) ideals can be generalized to arbitrary A-graded monomial ideals. The generalization works in dimension d = 2, but it fails for d greater than or equal to 3. Moreover, for a certain class o f binomial ideals (including the A-graded ones) we present an explicit cell ular primary decomposition.