Let K be a field and I a monomial ideal of the polynomial ring S = K[x1, ..., xn]. 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.
"Almost complete intersections and Stanley's conjecture." Kodai Math. J. 37 (2) 396 - 404, June 2014. https://doi.org/10.2996/kmj/1404393894