Advanced search
Publication Cover
Communications in Algebra Volume 39, 2011 - Issue 7
Submit an article Journal homepage
125
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Primary Ideals with Good Fiber Cone

Guangjun Zhu Department of Mathematics, Soochow University, Suzhou, ChinaCorrespondence[email protected] ; [email protected]
Pages 2276-2289 | Received 21 Oct 2009, Published online: 20 Jul 2011

REFERENCES

  • Bhattacharya , P. B. ( 1957 ). The Hilbert function of two ideals . Math. Proc. Cambridge Philos. Soc. 53 : 568 – 575 .
  • Cortadellas , T. , Zarzuela , S. ( 1997 ). On the depth of fiber cone of filtrations . J. Algebra 198 : 428 – 445 .
  • Cruz , C. D. , Raghavan , K. N. , Verma , J. K. ( 1999 ). Cohen–Macaulay fiber cones . Commutative Algebra, Algebraic Geometry and Computational Methods (Hanoi, 1996) . Singapore : Springer , pp. 233 – 246 .
  • Cruz , C. D. , Puthenpurakal , T. J. ( 2009 ). The Hilbert coefficients of the fiber cone and the a-invariant of the associated graded ring . Canad. J. Math. 61 : 762 – 778 .
  • Cruz , C. D. , Verma , J. K. ( 2002 ). Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity . J. Algebra 251 : 98 – 109 .
  • Guerrieri , A. ( 1994 ). On the depth of the associated graded ring of an 𝔪-primary ideal of a Cohen–Macaulay local ring . J. Algebra 167 : 745 – 757 .
  • Guerrieri , A. ( 1995 ). On the depth of the associated graded ring . Proc. Amer. Math. Soc. 123 : 11 – 20 .
  • Huckaba , S. , Marley , T. ( 1997 ). Hilbert coefficients and the depths of associated graded rings . J. London Math. Soc. 56 : 64 – 76 .
  • Jayanthan , A. V. , Puthenpurakal , T. J. , Verma , J. K. ( 2007 ). On fiber cones of 𝔪-primary ideals . Canad. J. Math. 59 : 109 – 126 .
  • Jayanthan , A. V. , Verma , J. K. ( 2005 ). Hilbert coefficients and depths of fiber cones . J. Pure Appl. Algebra 201 : 97 – 115 .
  • Rees , D. ( 1984 ). Generalizations of reductions and mixed multiplicities . J. London Math. Soc. (2) 29 : 397 – 414 .
  • Rossi , M. E. ( 2000 ). Primary ideals with good associated graded ring . J. Pure Appl. Algebra 145 : 75 – 90 .
  • Valabrega , P. , Valla , G. ( 1978 ). Form rings and regular sequence . Nagoya Math. J. 72 : 93 – 101 .
  • Wang , H. J. ( 2000 ). Hilbert coefficients and the associated graded rings . Proc. Amer. Math. Soc. 128 : 963 – 973 .
  • Zhu , G. ( 2008 ). Depth of fiber cones of ideals with almost minimal mixed multiplicity . Journal of Algebra 320 : 3534 – 3542 .
  • Zhu , G. ( 2008 ). On fiber coefficients of fiber cones . Comm. Algebra 36 : 4120 – 4131 .
  • Zhu , G. , Tang , Z. ( 2010 ). A lower bound on the second fiber coefficient of the fiber cones . Comm. Algebra 38 : 1919 – 1929 .
  • Communicated by I. Swanson.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.