[9] Kassel, C., Quantum Groups, Graduate Text in Mathematics 155, Springer-Verlag, New York, 1995.
[10] Nichita, F.F., Special Issue “Hopf Algebras, Quantum Groups and Yang–Baxter Equations. Available online:
http://www.mdpi.com/journal/axioms/special issues/hopf algebras 2014.
[11] Nichita, F.F., Introduction to the Yang-Baxter Equation with Open Problems Axioms 2012, 4, 423–435.
[12] Oner, T. Kalkan, T., Yang-Baxter Equations in MTL-algebras.. Bulletin of the International Mathematical Virtual Institute 2019, 9, 599–607.
[13] Oner, T. Katıcan, T., On solution to the Set-Theoretical Yang-Baxter Equation via BL-Algebras. Bulletin of the International Mathematical Virtual
Institute 2019, 9, 207–217.
[14] Oner, T., Katıcan, T., On solutions to the Set-Theoretical Yang-Baxter Equation in Wasjberg-Algebras. Axioms 2018, 7, 6 .
[15] Perk, J.H.H., Au, Y.H., Yang-Baxter Equations. In Encyclopedia of Mathematical Physics; Franc¸oise, J.-P., Naber, G.L., Tsou S.T., Eds.; Elseiver:
Oxford, UK 2006, 5, 465–473.
[16] Yang, C.N., Some exact results for the many-body problem in one dimension with repulsive delta-function interaction. Physical Review Letters 1967,
19, 1312–1315.
Yang-Baxter Equation in Lattice Effect Algebras
Year 2020,
Volume: 8 Issue: 1, 106 - 113, 15.04.2020
In this paper, we present lattice effect algebra by giving certain definitions and conceptions as to lattice effect algebra. We present new solutions to the set-theoratical Yang-Baxter equation by using lattice effect algebras.
[9] Kassel, C., Quantum Groups, Graduate Text in Mathematics 155, Springer-Verlag, New York, 1995.
[10] Nichita, F.F., Special Issue “Hopf Algebras, Quantum Groups and Yang–Baxter Equations. Available online:
http://www.mdpi.com/journal/axioms/special issues/hopf algebras 2014.
[11] Nichita, F.F., Introduction to the Yang-Baxter Equation with Open Problems Axioms 2012, 4, 423–435.
[12] Oner, T. Kalkan, T., Yang-Baxter Equations in MTL-algebras.. Bulletin of the International Mathematical Virtual Institute 2019, 9, 599–607.
[13] Oner, T. Katıcan, T., On solution to the Set-Theoretical Yang-Baxter Equation via BL-Algebras. Bulletin of the International Mathematical Virtual
Institute 2019, 9, 207–217.
[14] Oner, T., Katıcan, T., On solutions to the Set-Theoretical Yang-Baxter Equation in Wasjberg-Algebras. Axioms 2018, 7, 6 .
[15] Perk, J.H.H., Au, Y.H., Yang-Baxter Equations. In Encyclopedia of Mathematical Physics; Franc¸oise, J.-P., Naber, G.L., Tsou S.T., Eds.; Elseiver:
Oxford, UK 2006, 5, 465–473.
[16] Yang, C.N., Some exact results for the many-body problem in one dimension with repulsive delta-function interaction. Physical Review Letters 1967,
19, 1312–1315.