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# On The Classification of Grade Three Perfect Ideals

## Electronic Theses and Dissertations

### Item Details

abstract
In this thesis we will study a theorem by Avramov-Kustin-Miller found in \textit{Poincar\'{e} series of modules over local rings of small embedding codepth or small linking number} that classifies the possible graded-commutative algebra structure of $A = H_\bullet(F_\bullet \otimes_Q k)$ where $F$ is a minimal free resolution of a cyclic module of projective dimension 3. Our Macaulay2 package, MultFreeResThree, will classify which algebra structure $A$ falls into and generate a basis for this unique algebra structure.
subject
contributor
Moore, William Frank (committee chair)
Kirkman, Ellen (committee member)
Raynor, Sarah (committee member)
date
2021-06-03T08:36:07Z (accessioned)
2021-06-03T08:36:07Z (available)
2021 (issued)
degree
Mathematics and Statistics (discipline)
identifier
http://hdl.handle.net/10339/98809 (uri)
language
en (iso)
publisher
Wake Forest University
title
On The Classification of Grade Three Perfect Ideals
type
Thesis