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Communications in Algebra Volume 41, 2013 - Issue 3
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Original Articles

Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings

Muhammad Ishaq Abdus Salam School of Mathematical Sciences, GC University, Lahore, PakistanCorrespondence[email protected]
&
Muhammad Imran Qureshi Comsats Institute of Information Technology, Vehari, Pakistan
Pages 1107-1116 | Received 13 Apr 2011, Published online: 13 Mar 2013

REFERENCES

  • Biro , C. , Howard , D. M. , Keller , M. T. , Trotter , W. T. , Young , S. J. ( 2010 ). Interval partitions and Stanley depth . J. Combin. Theory Ser. A 117 : 475 – 482 .
  • Cimpoeaş , M. ( 2008 ). Stanley depth of complete intersection monomial ideals . Bull. Math. Soc. Sci. Math. Roumanie 51 ( 99 ): 205 – 211 .
  • Herzog , J. , Vladoiu , M. , Zheng , X. ( 2009 ). How to compute the Stanley depth of a monomial ideal . J. Algebra 322 ( 9 ): 3151 – 3169 .
  • Ishaq , M. ( 2012 ). Upper bounds for the Stanley depth . Comm. Algebra 40 : 87 – 97 .
  • Ishaq , M. ( 2011 ). Values and bounds of the Stanley depth . Carpathian J. Math. 27 ( 2 ): 217 – 224 .
  • Ishaq , M. , Qureshi , M. I. Stanley depth of edge ideals. To appear in Studia Sci. Math. Hungarica arXiv:1104.1018v1.
  • Keller , M. T. , Shen , Y. , Streib , N. , Young , S. J. ( 2009 ). On the stanley depth of squarefree veronese ideals . J. Algebraic Combin. 33 : 13 – 324 .
  • Nill , B. , Vorwerk , K. ( 2008 ). Stanley's conjecture, cover depth and extremal simplicial complexes. LE MATEMATICHE LXIII-Fasc. II pp. 213–228 .
  • Popescu , A. ( 2010 ). Special Stanley decomposition . Bull. Math. Soc. Sc. Math. Roumanie 52 ( 101)(4 ): 363 – 372 .
  • Popescu , D. , Qureshi , M. I. ( 2010 ). Computing the Stanley depth . J. Algebra 323 ( 10 ): 2943 – 2959 .
  • Popescu , D. ( 2011 ). Bounds of Stanley depth. Analele Univ. Ovidius Constanta 19: 187–194 .
  • Rauf , A. ( 2010 ). Depth and Stanley depth of multigraded modules . Comm. Algebra 38 : 773 – 784 .
  • Stanley , R. P. ( 1982 ). Linear Diophantine equations and local cohomology . Invent. Math. 68 : 175 – 193 .
  • Communicated by R. Wiegand.

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