[1] N. Andruskiewitsch and H.J. Schneider: On the classification of finite-dimensional pointed Hopf algebras, Ann. of Math. (2) 171 (2010), 375–417.
[2] Y. Bespalov, T. Kerler, V. Lyubashenko and V. Turaev: Integrals for braided Hopf algebras, J. Pure and Appl. Algebra 148 (2000), 113–164.
[3] F. Bonchi, P. Soboci´nski and F. Zanasi: Interacting Hopf algebras, J. Pure Appl. Algebra 221 (2017), 144–184.
[4] J.S. Carter, D. Jelsovsky, S. Kamada, L. Langford and M. Saito: Quandle cohomology and state-sum invariants of knotted curves and surfaces, Trans. Amer. Math. Soc. 355 (2003), 3947–3989.
[5] J.S. Carter, M. Elhamdadi, M. Gra˜na and M. Saito: Cocycle knot invariants from quandle modules and generalized quandle homology, Osaka J. Math. 42 (2005), 499–541.
[6] J. Collins and R. Duncan: Hopf-Frobenius algebras and a simpler Drinfeld double; in Proceedings 16th International Conference on Quantum Physics and Logic 2019 (QPL), Electron. Proc. Theor. Comput. Sci. 318, EPTCS, 2020, 150–180.
[7] M. Eisermann: Yang–Baxter deformations of quandles and racks, Algebr. Geom. Topol. 5 (2005), 537–562.
[8] M. Elhamdadi, M. Saito and E. Zappala: Higher Arity Self-Distributive Operations in Cascades and their Cohomology, J. Algebra Appl. 20 (2021), Paper No. 2150116, 33pp.
[9] M. Elhamdadi, M. Saito and E. Zappala: Heap and Ternary Self-Distributive Cohomology, Comm. Algebra 49 (2021), 2378–2401.
[10] P. Etingof and S. Gelaki: Invariant Hopf 2-cocycles for affine algebraic groups, Int. Math. Res. Not. 2020 (2020), 344–366.
[11] A. Ishii, M. Iwakiri, Y. Jang and K. Oshiro: A G-family of quandles and handlebody-knots, Illinois J. Math. 57 (2013), 817–838.
[12] P.J. Freyd and D.N. Yetter: Braided compact closed categories with applications to low dimensional topology, Adva. Math. 77 (1989), 156–182.
[13] M. Gra˜na: Quandle knot invariants are quantum knot invariants, J. Knot Theory Ramifications 11 (2002), 673–681.
[14] M.J. Green: Generalizations of Quandles and their cohomologies, PhD dissertation, University of South Florida, 2018.
[15] D. Joyce: A classifying invariant of knots, the knot quandle, J. Pure Appl. Algebra 23 (1982), 37–65.
[16] C. Kassel: Quantum Groups, Springer Science & Business Media, 2012.
[17] A.Klimyk and K. Schm¨udgen: Quantum Groups and Their Representations, Springer Science & Business Media, 2012.
[18] K.H. Ko and L. Smolinsky: The framed braid group and 3-manifolds, Proc. Amer. Mathe. Soc. 115 (1992), 541–551.
[19] R.G. Larson and M.E. Sweedler: An associative orthogonal bilinear form for Hopf algebras, Amer. J. Math. 91 (1969), 75–94.
[20] S.V. Matveev: Distributive groupoids in knot theory, Mat. Sb. 119 (161) (1982), 78–88.
[21] T. Nosaka: Quandle cocycles from invariant theory, Adv. Math. 245 (2013), 423–438.
[22] B. Pareigis: When Hopf algebras are Frobenius algebras, J. Algebra 18 (1971), 588–596.
[23] N.Yu. Reshetikhin and V.G. Turaev: Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127 (1990), 1–26.
[24] M. Saito and E. Zappala: Fundamental heap for framed links and ribbon cocycle invariants, arXiv:2011.03684 (2020).
[25] M. Saito and E. Zappala: Braided Frobenius Algebras from certain Hopf Algebras, J. Algebra Appl. online ready, available at https://doi.org/10.1142/S0219498823500123.
[26] V.G. Turaev: The Yang-Baxter equation and invariants of links, Invent. Math. 92 (1988), 527–554.
[27] E. Zappala: Non-Associative Algebraic Structures in Knot Theory, Ph.D. dissertation, University of South Florida, 2020.