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arXiv · 1606.00353

$f$-Racks, $f$-Quandles, their Extensions and Cohomology

Indu R. U. Churchill·M. Elhamdadi·M. Green·A. Makhlouf
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Abstract

The purpose of this paper is to introduce and study the notions of $f$-rack and $f$-quandle which are obtained by twisting the usual equational identities by a map. We provide some key constructions, examples and classification of low order $f$-quandles. Moreover, we define modules over $f$-racks, discuss extensions and define a cohomology complex for $f$-quandles.

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BibTeXRIS

Indu R. U. Churchill, M. Elhamdadi, M. Green, A. Makhlouf. 2016-11-29. $f$-Racks, $f$-Quandles, their Extensions and Cohomology. https://doi.org/10.1142/s0219498817502152

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