Kodai Mathematical Journal

Almost complete intersections and Stanley's conjecture

Somayeh Bandari, Kamran Divaani-Aazar, and Ali Soleyman Jahan

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Abstract

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.

Article information

Source
Kodai Math. J., Volume 37, Number 2 (2014), 396-404.

Dates
First available in Project Euclid: 3 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1404393894

Digital Object Identifier
doi:10.2996/kmj/1404393894

Mathematical Reviews number (MathSciNet)
MR3229083

Zentralblatt MATH identifier
1297.13024

Citation

Bandari, Somayeh; Divaani-Aazar, Kamran; Soleyman Jahan, Ali. Almost complete intersections and Stanley's conjecture. Kodai Math. J. 37 (2014), no. 2, 396--404. doi:10.2996/kmj/1404393894. https://projecteuclid.org/euclid.kmj/1404393894


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