Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584236 | Journal of Algebra | 2015 | 20 Pages |
Abstract
For the edge ideal I of an arbitrary simple graph Γ we describe the monomials of the saturation of ItIt in terms of (vertex) weighted graphs associated with the monomials. This description allows us to characterize the embedded associated primes of ItIt as covers of Γ which contain certain types of subgraphs of Γ. As an application, we completely classify the associated primes of I2I2 and I3I3 in terms of Γ.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ha Thi Thu Hien, Ha Minh Lam, Ngo Viet Trung,