ADELA VRACIU

RESEARCH INTERESTS


 

    PAPERS:

    1. Boundedness of Local Cohomology of Frobenius Images, Journal of Algebra , 228 (2000) , 347--356.

    2. *-Independence and special tight closure, Journal of Algebra, 249 (2002), 544-565.

    3. Strong test ideals, J. Pure Applied Algebra, 167 (2002), 361-373.

    4. Special tight closure; (with C. Huneke); Nagoya Mathematical Journal, 170 (2003), 175-183.

    5. Tight closure and linkage classes in Gorenstein rings, Mathematische Zeitschrift, 244 (2003), 873--885.

    6. Tightly closed ideals of small type Proceedings Amer. Math. Soc. 132 (2003), 341--346.

    7. Vanishing of Ext and Tor over some Cohen-Macaulay local rings (with C. Huneke and L. M. Sega), Illinois J. Math., 48 (2004), 295--317.

    8. Chains and families of tightly closed ideals , Bull. London Math. Soc., 38 (2006), 201--208.

    9. Rings which are almost Gorenstein (with C. Huneke), Pacific J. Math., 225 (2006), no. 1, 85--102.

    10. Socle degrees of Frobenius powers (with A. Kustin), Illinois J. Math., 51 (2007), 185--208.

    11. A length characterization of *-spread (with N. Epstein), Osaka J. Math, 45 (2008), 445--456. .

    12. A new version of a -tight closure , Nagoya Math. J., 192 (2008), 1--25.

    13. When is tight closure determined by the test ideal? (with J. Vassilev), J. of Commutative Algebra, 1 no. 3 (2009), 591-602.

    14. Drops in joint Hilbert-Kunz multiplicities and projective equivalence of ideals, J. Algebra 323 (2010), 2226-2242.

    15. Some homological properties of almost Gorenstein rings (with J. Striuli), Contamporary Math. 555 (2011), 201-215

    16. A formula for the *-core (with L. Fouli and J. Vassilev), Proc. Amer. Math. Soc. 139 (2011) 4235-4245.

    17. The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring (with A. Kustin and H. Rahmati), J. Algebra 369 (2012), 256-321.

    18. The weak Lefschetz property for monomial complete intersections in positive characteristic (with A. Kustin) Trans. Amer. Math. Soc., to appear.

    19. Exact pairs of homogeneous zero divisors (with A. Kustin and J. Striuli), submitted.

    20. On the degrees of relations on $x_1^{d_1}, ..., x_n^{d_n}, (x_1 + ... + x_n)^{d_{n+1}}$ in positive characteristic , submitted.

    21. Minimal quasi-complete intersection ideals (with A. Kustin and L. Sega), submitted.