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Almost complete intersections and Stanley's conjecture

Authors :
Ali Soleyman Jahan
Somayeh Bandari
Kamran Divaani-Aazar
Source :
Kodai Math. J. 37, no. 2 (2014), 396-404
Publication Year :
2013
Publisher :
arXiv, 2013.

Abstract

Let $K$ be a field and $I$ a monomial ideal of the polynomial ring $S=K[x_1,\ldots, x_n]$. We show that if either: 1) $I$ is almost complete intersection, 2) $I$ can be generated by less than four monomials; or 3) $I$ is the Stanley-Reisner ideal of a locally complete intersection simplicial complex on $[n]$, then Stanley's conjecture holds for $S/I$.<br />Comment: To appear in Kodai Mathematical Journal, 7 pages

Details

Database :
OpenAIRE
Journal :
Kodai Math. J. 37, no. 2 (2014), 396-404
Accession number :
edsair.doi.dedup.....14cfcf25cee0ded83bc2efcc5780a776
Full Text :
https://doi.org/10.48550/arxiv.1311.7303