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- W4380714507 abstract "A hereditary property of quivers is a property preserved by restriction to any full subquiver. Similarly, a mutation-invariant property of quivers is a property preserved by mutation. Using forks, a class of quivers developed by M. Warkentin, we introduce a new hereditary and mutation-invariant property. We prove that a quiver being mutation-equivalent to a finite number of non-forks -- defined as having a finite forkless part -- is this new property, using only elementary methods. Additionally, we show that a more general property -- having a finite pre-forkless part -- is also a new hereditary and mutation-invariant property in much the same manner." @default.
- W4380714507 created "2023-06-15" @default.
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- W4380714507 date "2023-06-12" @default.
- W4380714507 modified "2023-09-23" @default.
- W4380714507 title "New Hereditary and Mutation-Invariant Properties Arising from Forks" @default.
- W4380714507 doi "https://doi.org/10.48550/arxiv.2306.07502" @default.
- W4380714507 hasPublicationYear "2023" @default.
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