Bardzell, Michael2014-03-142014-03-141996-05-09etd-10042006-143904http://hdl.handle.net/10919/39613The purpose of this thesis is to develop machinery for calculating Hochschild cohomology groups of certain finite dimensional algebras. So let A be a finite dimensional quotient of a path algebra. A method of modeling the enveloping algebra Ae of A on a computer is presented. Adding the extra hypothesis that A is a monomial algebra, we construct a minimal projective resolution of A over A e. The syzygies for this resolution exhibit an alternating behavior which is explained by the construction of a special sequence of paths from the quiver of A. Finally, a technique for calculating Hochschild cohomology groups from these resolutions is presented. An important application involving an invariant characterization for a certain class of monomial algebras is also included.iv, 65 leavesBTDapplication/pdfenIn CopyrightModuleRingalgebraCohomologyQuiverLD5655.V856 1996.B373Dissertationhttp://scholar.lib.vt.edu/theses/available/etd-10042006-143904/