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- W2890000921 abstract "In 2017, Michael Cuntz gave a definition of reducibility of quiddity cycles of frieze patterns: It is reducible if it can be written as a sum of two other quiddity cycles. We discuss the commutativity and associativity of this sum operator for quiddity cycles and its equivalence classes, respectively. We show that the sum is neither commutative nor associative, but we may circumvent this issue by passing to equivalence classes. We also address the question whether a decomposition of quiddity cycles into irreducible factors is unique and we answer it in the negative by giving counterexamples. We conclude that even under stronger assumptions, there is no canonical decomposition." @default.
- W2890000921 created "2018-09-27" @default.
- W2890000921 creator A5021449152 @default.
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- W2890000921 date "2018-09-01" @default.
- W2890000921 modified "2023-09-24" @default.
- W2890000921 title "Factorization of Frieze Patterns" @default.
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- W2890000921 doi "https://doi.org/10.48550/arxiv.1809.00274" @default.
- W2890000921 hasPublicationYear "2018" @default.
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