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Almost complete intersections and Stanley's conjecture
- 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
- Subjects :
- Discrete mathematics
Monomial
Conjecture
Mathematics::Commutative Algebra
General Mathematics
Polynomial ring
Complete intersection
Field (mathematics)
Monomial ideal
13F20, 05E40, 13F55
Mathematics - Commutative Algebra
Commutative Algebra (math.AC)
Combinatorics
Simplicial complex
FOS: Mathematics
Ideal (ring theory)
Mathematics
Subjects
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