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

A. Makhlouf; Indu R. U. Churchill; M. Elhamdadi; M. Green

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arxiv 1606.00353 v2 pith:VEIMFDEK submitted 2016-06-01 math.RA math.ATmath.QA

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

Indu R. U. Churchill , M. Elhamdadi , M. Green , A. Makhlouf This is my paper

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keywords quandlescohomologydefineextensionsracksclassificationcomplexconstructions

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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.

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

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