Browsing Department of Mathematics and Statistics (UMKC) by Thesis Advisor "Sega, Liana"

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  • 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 ...

  • 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 ...