The Golod Property on Monomial Rings

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.

Grantor dc:publisher

Wake Forest University

Year dc:date.issued

2018

Author dc:creator

• Gilbert, Cody

• Algebraic Topology

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10339/90719

OAI identifier oai:identifier

oai:wakespace.lib.wfu.edu:10339/90719