The Artinian first Koszul homology generator conjecture
The Artinian first Koszul homology generator conjecture
Let be an Artinian local ring, and let . Write for the first Koszul homology module of the sequence on . Artinian Koszul homology conjecture. The module has at least generators as an -module. This conjecture is related to the Tor generator conjecture above and is used to study lower bounds for generators of first Koszul homology over Artinian rings. The source provides no resolution status.
Sources & referencesView supporting material
Primary source
Alex Zhongyi Zhang, “The number of generators of the first Koszul homology of an Artinian ring”, arXiv:1411.7096 (2014).
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