Browsing by Author "Demelash Smegnsh"

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    On the length of D-modules over Hyperplane Arrangements in Space
    (Addis Ababa University, 2016-07) Demelash Smegnsh; Ababaw Tilahun (PhD)
    A D-module is a module over a ring of Di_erential Operators. The major interest of such D-modules is as an approach to the theory of linear partial di_erential equations. Algebraic D-modules are modules over the Weyl algebra An over the _eld C of complex numbers. The main purpose of this thesis to work on the A3=module C[x;y;z]_; where _ is the product of linear forms. In this thesis we computed the decomposition factors and hence the length of A3 -module C[x; y; z]_ using the method of partial fractions of rational functions