f-Racks, f-quandles, their extensions and cohomology

作者:Churchill Indu R U; Elhamdadi Mohamed*; Green Matthew; Makhlouf Abdenacer
来源:Journal of Algebra and Its Applications, 2017, 16(11): 1750215.
DOI:10.1142/S0219498817502152

摘要

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.

  • 出版日期2017-11