Extensions of racks and quandles

Nicholas Jackson

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arXiv · math/0408040

Extensions of racks and quandles

Nicholas Jackson

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Abstract

New definitions of rack and quandle modules are introduced, and shown to generalise the definitions previously studied by Andruskiewitsch, Etingof and Grana. This new construct is shown to coincide with Beck's general definition of a module in an arbitrary category. A theory of Abelian extensions of racks and quandles is then developed, which is shown to generalise the theories developed by Carter, Elhamdadi, Kamada and Saito.

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Nicholas Jackson. 2005-06-22. Extensions of racks and quandles. https://arxiv.org/abs/math/0408040

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