Stanley’s conjecture for critical ideals

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jun 2011Embargo end date: 01 Jan 2009Publisher:Akademiai Kiado Zrt.Journal:Studia Scientiarum Mathematicarum Hungarica, volume 48, pages 220-226 (issn: 0081-6906, eissn: 1588-2896,

Copyright policy )

Authors: Haider, Azeem; Khan, Sardar Mohib Ali;

doi: 10.1556/sscmath.2010.1160 , 10.48550/arxiv.0905.0960

arXiv: 0905.0960

Stanley’s conjecture for critical ideals

- Summary
- Subjects
- Metrics

Abstract

Let S = K[x1,…,xn] be a polynomial ring in n variables over a field K. Stanley’s conjecture holds for the modules I and S/I, when I ⊂ S is a critical monomial ideal. We calculate the Stanley depth of S/I when I is a canonical critical monomial ideal. For non-critical monomial ideals we show the existence of a Stanley ideal with the same depth and Hilbert function.

Related Organizations

Government College University, Lahore
Pakistan

Keywords

FOS: Mathematics, 13P10, 13C14 (Primary), 13H10, 13F20 (Secondary), Mathematics - Commutative Algebra, Commutative Algebra (math.AC)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

2

Average

Green

bronze

Fields of Science

Fields of Science