79
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

The Stanley Conjecture on Intersections of Four Monomial Prime Ideals

Pages 4351-4362 | Received 29 Jun 2011, Published online: 25 Aug 2013

REFERENCES

  • Biro , C. , Howard , D. , Keller , M. , Trotter , W. , Young , S. ( 2010 ). Interval partition and Stanley depth . J. Combin. Theory 117 : 475 – 482 .
  • Bruns , W. , Herzog , J. ( 1998 ). Cohen-Macaulay Rings. , Revised ed. Cambridge : Cambridge University Press .
  • Fløystad , G. , Herzog , J. ( 2011 ). Gröbner basis of syzygies and Stanley depth . J. Algebra 328 : 178 – 189 .
  • Herzog , J. , Vladoiu , M. , Zheng , X. ( 2009 ). How to compute the Stanley depth of a monomial ideal . J. Algebra 322 : 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 : 217 – 224 . arXiv:AC/1010.4692 .
  • Lyubeznik , G. ( 1988 ). On the arithmetic rank of monomial ideals . J. Algebra 112 : 86 – 89
  • Popescu , A. ( 2010 ). Special Stanley decompositions . Bull. Math. Soc. Sc. Math. Roumanie 53 ( 101 ), No. 4, arXiv:AC/1008.3680 .
  • Popescu , D. ( 2009 ). An inequality between depth and Stanley depth . Bull. Math. Soc. Sc. Math. Roumanie 52 ( 100 ): 377 – 382 , arXiv:AC/0905.4597v2 .
  • Popescu , D. , Qureshi , I. ( 2010 ). Computing the Stanley depth . J. Algebra 323 : 2943 – 2959 .
  • 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 .
  • Villarreal , R. H. ( 2001 ). Monomial Algebras . New York : Marcel Dekker Inc .
  • Communicated by U. Walther.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.