Powers of Elements and Monomial Ideals

All monomial ideals I ⊆ k[X 0 ,..., X d ] are classified which satisfy the following condition: If f ∈ I with f n  ∈ I n+1 for some n, then f ∈ (X 0 ,..., X d ) I.

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Bibliographic Details
Published in:Communications in algebra 2005-09, Vol.33 (10), p.3771-3781
Main Author: Hübl, Reinhold
Format: Article
Language:English
Subjects:
Convex polytopes
Evolutions
Monomial ideals
Primary 13P10
Secondary 13A15
Citations: Items that this one cites
Online Access:Get full text
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Description
Summary:All monomial ideals I ⊆ k[X 0 ,..., X d ] are classified which satisfy the following condition: If f ∈ I with f n  ∈ I n+1 for some n, then f ∈ (X 0 ,..., X d ) I.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870500242777