68
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

2 × 2 Permanental Ideals of Hypermatrices

&
Pages 84-101 | Received 26 Mar 2013, Published online: 01 Aug 2014

REFERENCES

  • Ay , N. , Rauh , J. ( 2011 ). Robustness and conditional independence ideals. arXiv: 1110.1338 .
  • Bruns , W. , Vetter , U. ( 1988 ). Determinantal Rings. Lecture Notes in Mathematics, Vol. 1327, Springer-Verlag .
  • Eisenbud , D. , Sturmfels , B. ( 1996 ). Binomial ideals . Duke Math. J. 84 : 1 – 45 .
  • Fink , A. ( 2011 ). The binomial ideal of the intersection axiom for conditional probabilities . J. Algebraic Combin. 33 ( 3 ), 455 – 463 .
  • Grayson , D. , Stillman , M. Macaulay2, a software system for research in algebraic geometry. Available at http://www.math.uiuc.edu/Macaulay2/.
  • Herzog , J. , Hibi , T. , Hreinsdottir , F. , Kahle , T. , Rauh , J. ( 2010 ). Binomial edge ideals and conditional independence statements . Adv. in Appl. Math. 45 : 317 – 333 .
  • Kahle , T. ( 2012 ). Decompositions of binomial ideals in Macaulay2 . J. Softw. Algebra Geom. 4 : 1 – 5 .
  • Kirkup , G. A. ( 2008 ). Minimal primes over permanental ideals . Trans. Amer. Math. Soc. 360 : 3751 – 3770 .
  • Laubenbacher , R. C. , Swanson , I. ( 2000 ). Permanental ideals . J. Symbolic Comput. 30 : 195 – 205 .
  • Ohtani , M. ( 2011 ). Graphs and ideals generated by some 2-minors . Comm. Alg. 39 : 905 – 917 .
  • Swanson , I. , Taylor , A. ( 2013 ). Minimal primes of ideals arising from conditional independence statements . J. Algebra 392 : 299 – 314 .
  • Valiant , L. G. ( 1979 ). The complexity of computing the permanent . Theoret. Comp. Sci. 8 : 189 – 201 .
  • Communicated by Olberding.

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.