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- W3088523470 abstract "We introduce the notion of an orbit series in a quandle. Using this notion we define four families of quandles based on finiteness conditions on their orbit series. Intuitively, the classes tOS and tOSn correspond to finitary compositions of trivial quandles while the classes OS and OSn correspond to finitary compositions of connected quandles. We study properties of these four families of quandles and explore their relationships with several previously studied families of quandles: reductive, n-reductive, locally reductive, n-locally reductive, and solvable quandles." @default.
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- W3088523470 date "2021-02-01" @default.
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- W3088523470 title "Quandles with orbit series conditions" @default.
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- W3088523470 doi "https://doi.org/10.1016/j.jalgebra.2020.09.026" @default.
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