On Characteristic Poset and Stanley Decomposition

Ahmad, Sarfraz; Anwar, Imran; Qureshi, Ayesha Asloob

doi:10.2478/auom-2014-0027

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On Characteristic Poset and Stanley Decomposition

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 2 (June 2014)

By: Sarfraz Ahmad, Imran Anwar and Ayesha Asloob Qureshi

Open Access

|Oct 2015

Abstract

Let J ⊂ I be two monomial ideals such that I/J is Cohen Macaulay. By associating a finite posets $P_{I / J}^{g}$ $P_{I/J}^g$ to I/J, we show that if I/J is a Stanley ideal then $\tilde{I / J}$ $\widetilde{I/J}$ is also a Stanley ideal, where $\tilde{I / J}$ $\widetilde{I/J}$ is the polarization of I/J. We also give relations between sdepth and fdepth of I/J and $\tilde{I / J}$ $\widetilde{I/J}$

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DOI: https://doi.org/10.2478/auom-2014-0027 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 21 - 28

Submitted on: Dec 1, 2012

Accepted on: Apr 1, 2013

Published on: Oct 20, 2015

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

monomial ideals,

posets,

Stanley’s conjecture,

Related subjects:

© 2015 Sarfraz Ahmad, Imran Anwar, Ayesha Asloob Qureshi, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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