Monomial ideals of minimal depth

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Ishaq Muhammad¹ 

[1] Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector, H-12, 44000 Islamabad, Pakistan;

关键词: monomial ideal;    stanley decomposition;    stanley depth;    lexsegment ideal;    minimal depth;   

DOI  :  10.2478/auom-2013-0049

来源: DOAJ

【 摘 要 】

Let S be a polynomial algebra over a field. We study classes of monomial ideals (as for example lexsegment ideals) of S having minimal depth. In particular, Stanley's conjecture holds for these ideals. Also we show that if I is a monomial ideal with Ass(S/I) = {P1, P2, ..., Ps} and Pi ⊄ ∑s1=j≠i Pj for all i ∊ [s], then Stanley’s conjecture holds for S/I.

【 授权许可】

Unknown