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The Golod Property on Monomial Rings

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abstract
In this paper, we work towards understanding a counterexample found in Lukas Katthan's "A non-Golod Ring with a Trivial Product on its Koszul Homology". In this counterexample, Katthan disproved a claim made by Berglund and Jollenbeck which stated that a monomial ring is Golod if and only if the product on its Koszul Homology is trivial. At the end, we find a non-Golod monomial ring with trivial product on its Koszul homology, so we will need the backwards direction to be stronger in order for this statement to be true.
subject
Algebraic Topology
Commutative Algebra
Homological Algebra
contributor
Gilbert, Cody (author)
Moore, William F. (committee chair)
Kirkman, Ellen E. (committee member)
Howards, Hugh N. (committee member)
date
2018-05-24T08:36:06Z (accessioned)
2018-05-24T08:36:06Z (available)
2018 (issued)
degree
Mathematics and Statistics (discipline)
identifier
http://hdl.handle.net/10339/90719 (uri)
language
en (iso)
publisher
Wake Forest University
title
The Golod Property on Monomial Rings
type
Thesis

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