Generalized cover ideals and the persistence property

• Autores: Ashwini Bhat, Jennifer Biermann, Adam van Tuyl
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 9, 2014, págs. 1683-1695
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.01.007
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• Referencias bibliográficas
  • A. Aslam, The stable set of associated prime ideals of a squarefree principal Borel ideal, preprint, arXiv:1301.7152, 2013.
  • S. Bayati, J. Herzog, G. Rinaldo, On the stable set of associated prime ideals of a monomial ideal, Arch. Math. 98 (2012) 213–217.
  • A. Bhat, Associated primes of powers of the Alexander dual of path ideals of trees, MSc thesis, Lakehead University, 2012. M. Brodmann, Asymptotic...
  • J. Chen, S. Morey, A. Sung, The stable set of associated primes of the ideal of a graph, Rocky Mt. J. Math. 32 (2002) 71–89.
  • A. Conca, E. De Negri, M-sequences, graph ideals and ladder ideals of linear type, J. Algebra 211 (1999) 599–624.
  • C.A. Francisco, H.T. Hà, A. Van Tuyl, Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals, J. Algebra...
  • C.A. Francisco, H.T. Hà, A. Van Tuyl, A conjecture on critical graphs and connections to the persistence of associated primes, Discrete Math....
  • I. Gitler, E. Reyes, R. Villarreal, Blowup algebras of ideals of vertex covers of bipartite graphs, in: Algebraic Structures and Their Representations,...
  • D.R. Grayson, M.E. Stillman, Macaulay2, a software system for research in algebraic geometry, http://www.math.uiuc. edu/Macaulay2/.
  • J. Herzog, A.A. Qureshi, Persistence and stability properties of powers of ideals, preprint, arXiv:1208.4684v2, 2012.
  • J. Herzog, A. Riuf, M. Vladoiu, The stable set of associated prime ideals of a polymatroidal ideal, J. Algebr. Comb. 37 (2013) 289–312.
  • L.T. Hoa, Stability of associated primes of monomial ideals, Vietnam J. Math. 34 (2006) 473–487.
  • S. Jacques, M. Katzman, Betti numbers of forests, preprint, arXiv:math/0501226v2, 2005.
  • T. Kaiser, M. Stehlík, R. ˘ Skrekovski, Replication in critical graphs and the persistence of monomial ideals, J. Comb. Theory, Ser. A 123...
  • J. Martínez-Bernal, S. Morey, R. Villarreal, Associated primes of powers of edge ideals, Collect. Math. 63 (2012) 361–374.
  • E. Miller, B. Sturmfels, Combinatorial Commutative Algebra, GTM, vol. 227, Springer-Verlag, New York, 2004.
  • S. Morey, R. Villarreal, Edge ideals: algebraic and combinatorial properties, Prog. Commut. Algebra Comb. Homol. 1 (2012) 85–126.
  • S. Wolff, Asymptotic growth of associated primes of certain graph ideals, Commun. Algebra (2012), in press, arXiv:1204. 3315v2.
  • O. Zariski, P. Samuel, Commutative Algebra, vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, NJ–Toronto–London–New...