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@article{UZERU_2019_53_3_a1, author = {D. A. Shahnazaryan}, title = {On functional equation of associativity with right quasigroup operations}, journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences}, pages = {150--155}, publisher = {mathdoc}, volume = {53}, number = {3}, year = {2019}, language = {en}, url = {http://geodesic.mathdoc.fr/item/UZERU_2019_53_3_a1/} }
TY - JOUR AU - D. A. Shahnazaryan TI - On functional equation of associativity with right quasigroup operations JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2019 SP - 150 EP - 155 VL - 53 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2019_53_3_a1/ LA - en ID - UZERU_2019_53_3_a1 ER -
%0 Journal Article %A D. A. Shahnazaryan %T On functional equation of associativity with right quasigroup operations %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2019 %P 150-155 %V 53 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2019_53_3_a1/ %G en %F UZERU_2019_53_3_a1
D. A. Shahnazaryan. On functional equation of associativity with right quasigroup operations. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 3, pp. 150-155. http://geodesic.mathdoc.fr/item/UZERU_2019_53_3_a1/
[1] J. Aczél, “On Mean Values”, Bull. Amer. Math. Soc., 54 (1948), 392–400 | DOI | MR | Zbl
[2] J. Aczél, “Remarques algebriques sur la solution donner par M. Frechet a l'equation de Kolmogoroff”, Pupl. Math. Debrecen, 4 (1955), 33–42 | MR | Zbl
[3] J. Aczél, “A Short Course on Functional Equations Based upon Recent Applications to the Social and Behavioral Sciences”, Theory and Decision Library Series B: Mathematical and Statistical Methods, D. Reidel Publishing Company, Dordrecht–Boston–Lancaster–Tokyo, 1987 | MR | Zbl
[4] J. Aczél, J. Dhombres, Functional Equations in several Variables, Cambridge University Press, New York, 1991 | MR
[5] J. Aczél, Lectures on Functional Equations and Their Applications, ed. H. Oser, Dover Publications, Mineola–New York, 2006
[6] J. Aczél, Z. Daróczy, “On measures of information and their characterizations”, Mathematics in Science and Engineering, v. 115, Academic Press, New York–San Francisco–London, 1975 | MR | Zbl
[7] J. Aczél, T. L. Saaty, “Procedures for synthesizing ratio judgements,”, Journal of Mathematical Psychology, 27:1 (1983), 93–102 | DOI | MR | Zbl
[8] Yu. M. Movsisyan, S. S. Davidov, Algebras that are nearly quasigroups, URSS, 2018 (in Russian)
[9] A. A. Albert, “Quasigroups. I”, Trans. Amer. Math. Soc., 54 (1943), 507–519 | DOI | MR | Zbl
[10] A. A. Albert, “Quasigroups. II”, Trans. Amer. Math. Soc., 55 (1944), 401–419 | DOI | MR | Zbl
[11] S. S. Davidov, A. A. Krape$\check{z}$, Yu. M. Movsisyan, “Functional Equations with Division and Regular Operations”, Asian-European Journal of Mathematics, 11:3 (2018), 1850033 | DOI | MR | Zbl
[12] A. A. Krape$\check{z}$, “Generalized Associativity on Groupoids”, Publications de l'Institut Mathematique, 28(42) (1980), 105–112 | MR | Zbl
[13] A. A. Krape$\check{z}$, “Functional Equations on Generalized Associativity, bisymmetry”, Publications de l'Institut Mathematique, 30(44) (1981), 81–87 | MR | Zbl