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On the Anick-Green Resolution and Computations over Quotient of Path Algebras

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title
On the Anick-Green Resolution and Computations over Quotient of Path Algebras
author
Wu, Yunmeng
abstract
Our goal is to understand the computation of a projective resolution for simple modules over homomorphic images of path algebras. We provide an algorithmic way to compute the differential and the projective resolution. Our work includes a software package PathAlgebras for the computer algebra system Macaulay2 with the functionality to compute Gröbner Basis, syzygies, projective resolutions, Betti tables of simple modules, and other important information over quotients of path algebras.
contributor
Moore, Frank (advisor)
Kirkman, Ellen (committee member)
Rouse, Jeremy (committee member)
date
2023-07-25T17:48:37Z (accessioned)
2023-07-25T17:48:37Z (available)
2023 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/102246 (uri)
language
en (iso)
publisher
Wake Forest University
type
Thesis

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