f-Racks, f-quandles, their Extensions and Cohomology
Document Type
Article
Publication Date
2017
Keywords
f-quandles, extensions and cohomology
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0219498817502152
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 theory for f-quandles and give examples.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Journal of Algebra and Its Applications, v. 16, issue 11, art. 1750215
Scholar Commons Citation
Churchill, Indu R. U.; Elhamdadi, Mohamed; Green, Matthew; and Makhlouf, Abdenacer, "f-Racks, f-quandles, their Extensions and Cohomology" (2017). Mathematics and Statistics Faculty Publications. 103.
https://digitalcommons.usf.edu/mth_facpub/103
