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- Title
Weakly Polymatroidal Ideals.
- Authors
Kokubo, Masako; Hibi, Takayuki
- Abstract
The concept of the weakly polymatroidal ideal, which generalizes both the polymatroidal ideal and the prestable ideal, is introduced. A fundamental fact is that every weakly polymatroidal ideal has a linear resolution. One of the typical examples of weakly polymatroidal ideals arises from finite partially ordered sets. We associate each weakly polymatroidal ideal with a finite sequence, alled the polymatroidal sequence, which will be useful for the computation of graded Betti numbers of weakly polymatroidal ideals as well as for the construction of weakly polymatroidal ideals.
- Subjects
IDEALS (Algebra); LINEAR algebra; POLYNOMIAL rings; DISTRIBUTIVE lattices; ORDERED sets
- Publication
Algebra Colloquium, 2006, Vol 13, Issue 4, p711
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386706000666