Stanley depth of squarefree Veronese ideals

Cimpoeas, Mircea

doi:10.2478/auom-2013-0043

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Stanley depth of squarefree Veronese ideals

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 3 (November 2013)

By: Mircea Cimpoeas

Open Access

|Mar 2014

Abstract

We compute the Stanley depth for the quotient ring of a square free Veronese ideal and we give some bounds for the Stanley depth of a square free Veronese ideal. In particular, it follows that both satisfy the Stanley's conjecture.

References

[1] J.Apel, On a conjecture of R.P.Stanley, Journal of Algebraic Combinatorics, 17(2003), 36-59.
Search in Google Scholar
[2] C. Biro, D. M. Howard, M. T. Keller, W. T. Trotter, S. J. Young, Partitioning subset lattices into intervals, preliminary version, Preprint 2008.
Search in Google Scholar
[3] M. Cimpoeas, Stanley depth for monomial complete intersection, Bull. Math. Soc. Sc. Math. Roumanie 51(99)(2008), 205-211.
Search in Google Scholar
[4] M. Cimpoeas, Some remarks on the Stanley depth for multigraded modules, Le Matematiche, 53(2008) , 165-171.
Search in Google Scholar
[5] J. Herzog, M. Vladoiu, X. Zheng, How to compute the Stanley depth of a monomial ideal, Journal of Algebra, 322(2009), 3151-3169.10.1016/j.jalgebra.2008.01.006
Search in Google Scholar
[6] D. Popescu, Stanley depth of multigraded modules, Journal of Algebra, 321(2008), 2782-2797. 10.1016/j.jalgebra.2009.03.009
Search in Google Scholar