• Cohomology of Finite Modules over Short Gorenstein Rings 

    Menning, Melissa Christine (2016)
    We study two formal power series in the indeterminate t that generalize the Poincar´e series of a module. In the context of a Gorenstein local ring whose maximal ideal m satisfies m³ = 0, we prove that these two power ...
  • The Effects of Math Recovery on the Low-Performing Mathematics Student 

    Rossiter, Robert F. (2012)
    This study examined the effectiveness of the course, Math Recovery, on a group of ninth-grade students enrolled in the course Algebra/Geometry I measured by course grades and subsequent tenth-grade MAP scores. In addition, ...
  • Generalized Koszul Properties of Commutative Local Rings 

    Hoffmeier, Justin Cole (2014)
    We study several properties of commutative local rings that generalize the notion of Koszul algebra. The properties are expressed in terms of the Ext algebra of the ring, or in terms of homological properties of powers ...