Type of Document Dissertation Author Smith, Nathan A. Author's Email Address firstname.lastname@example.org URN etd-042199-120414 Title Syzygy Decompositions and Projective Resolutions Degree PhD Department Mathematics Advisory Committee
Advisor Name Title Green, Edward L. Committee Chair Haskell, Peter E. Committee Member Linnell, Peter A. Committee Member Rossi, John F. Committee Member Thomson, James E. Committee Member Keywords
Date of Defense 1999-04-16 Availability restricted AbstractWe give a projective resolution of a finite dimensional
K-algebra A over its enveloping
algebra Ae = Aop
ÄKA. The description
this resolution is related to decompositions of
the first syzygy module of A as an Ae module.
Resolutions of right A
modules MA may be obtained by tensoring M
over A with this bimodule resoution. We
describe how to obtain such a resolution when M is simple or when M
is given in the form
of a projective presentation. Computations of
certain classes of algebras A are
made using these resolutions, and applied to obtain results on global
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