English

Almost complete intersections and Stanley's conjecture

Commutative Algebra 2013-12-16 v1

Abstract

Let KK be a field and II a monomial ideal of the polynomial ring S=K[x1,,xn]S=K[x_1,\ldots, x_n]. We show that if either: 1) II is almost complete intersection, 2) II can be generated by less than four monomials; or 3) II is the Stanley-Reisner ideal of a locally complete intersection simplicial complex on [n][n], then Stanley's conjecture holds for S/IS/I.

Keywords

Cite

@article{arxiv.1311.7303,
  title  = {Almost complete intersections and Stanley's conjecture},
  author = {Somayeh Bandari and Kamran Divaani-Aazar and Ali Soleyman Jahan},
  journal= {arXiv preprint arXiv:1311.7303},
  year   = {2013}
}

Comments

To appear in Kodai Mathematical Journal, 7 pages

R2 v1 2026-06-22T02:16:52.034Z