References
- Albert, A. A. (1943). Quasigroups. I. Trans. Amer. Math. Soc. 54(3):507–519. DOI: 10.1090/S0002-9947-1943-0009962-7.
- Alonso Álvarez, J. N., Fernández Vilaboa, J. M., González Rodrĺguez, R., Soneira Calvo, C. (2015). Projections and Yetter-Drinfel’d modules over Hopf (co)quasigroups. J. Algebra 443:153–199. DOI: 10.1016/j.jalgebra.2015.07.007.
- BrzezińSki, T., (2010). Hopf modules and the fundamental theorem for Hopf (co)quasigroups. Intern. Elect. J. Algebra 8:114–128.
- Caenepeel, S., Militaru, G., Zhu, S. L. (2002). Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations. Lecture Notes in Mathematics, Vol. 1787. Berlin: Springer.
- Fang, X. L., Wang, S. H. (2011). Twisted smash product for Hopf quasigroups. J. Southeast Univ. (English Ed.) 27(3):343–346.
- Freyd, P. J., Yetter, D. N. (1989). Braided compact closed categories with applications to low-dimensional topology. Adv. Math. 77(2):156–182. DOI: 10.1016/0001-8708(89)90018-2.
- Klim, J., Majid, S. (2010). Hopf quasigroup and the algebraic 7-sphere. J. Algebra 323(11):3067–3110. DOI: 10.1016/j.jalgebra.2010.03.011.
- Pareigis, B. (2001). Symmetric Yetter-Drinfeld categories are trivial. J. Pure Appl. Algebra 155(1):91–91. DOI: 10.1016/S0022-4049(99)00089-4.
- P’́erez-Izquierdo, J. M. (2007). Algebras, hyperalgebras, nonassociative bialgebras and loops. Adv. Math 208:834–876.
- Radford, D. E., Towber, J. (1993). Yetter-Drinfel’d categories associated to an arbitrary bialgebra. J. Pure Appl. Algebra 87(3):259–279. DOI: 10.1016/0022-4049(93)90114-9.
- Schauenburg, P. (1994). Hopf modules and Yetter-Drinfel’d modules. J. Algebra 169(3):874–890. DOI: 10.1006/jabr.1994.1314.
- Sweedler, M. E. (1969). Hopf Algebras. New York, NY: Benjamin.
- Woronowicz, S. L. (1990). Differential calculus on compact matrix pseudogroups (quantum groups). Comm. Math 37:425–456.
- Yetter, D. N. (1990). Quantum groups and representation of monoidal categories. Math. Proc. Cambridge Philos. Soc. 108:261–290.