Browsing Department of Mathematics by Author "Beck, Kristen Ann"

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    • On The Existence Of Totally Reflexive Modules 

      Beck, Kristen Ann (Mathematics, 2011-07-14)
      In this manuscript, we investigate the existence of non-free totally reflexive modules over two classes of commutative local (Noetherian) rings.First, we demonstrate existence over a class of local rings which are defined ...

    • On The Image Of The Totalling Functor 

      Beck, Kristen Ann (Mathematics, 2007-08-23)
      Let A denote a DG algebra and k a field. The totalling functor, from the category of chain complexes over the graded A-modules to the catagory of DG modules over A, can be extended to one between their derived categories. ...