2000 character limit reached
$f$-Racks, $f$-Quandles, their Extensions and Cohomology (1606.00353v2)
Published 1 Jun 2016 in math.RA, math.AT, and math.QA
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.