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Alina Iacob

  1. Gorenstein flat dimension of complexes.

    Wed, 02/10/2010 - 16:01 — SomNambul
    Authors: Alina Iacob
    Subjects: Commutative Algebra
    Abstract

    We define a notion of Gorenstein flat dimension for unbounded complexes over
    left GF-closed rings. Over Gorenstein rings we introduce a notion of Gorenstein
    cohomology for complexes; we also define a generalized Tate cohomology for
    complexes over Gorenstein rings, and we show that there is a close connection
    between the absolute, the Gorenstein and the generalized Tate cohomology.

  2. Homological dimensions and regular rings.

    Wed, 08/19/2009 - 19:30 — SomNambul
    Authors: Alina Iacob, Srikanth B. Iyengar
    Subjects: Commutative Algebra
    Abstract

    A question of Avramov and Foxby concerning injective dimension of complexes
    is settled in the affirmative for the class of noetherian rings. A key step in
    the proof is to recast the problem on hand into one about the homotopy category
    of complexes of injective modules. Analogous results for flat dimension and
    projective dimension are also established.

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