Geodesic
Commutative abelian algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2007), pp. 44-51.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper commutative abelian binary algebras are studied by applying the construction of the algebra of semiterms. We have found the necessary condition when any hyperidentity (i.e. $\forall(\forall)$-identity) is satisfied in all abelian commutative binary algebras. 
@article{UZERU_2007_3_a5,
     author = {S. S. Davidov},
     title = {Commutative abelian algebras},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {44--51},
     publisher = {mathdoc},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2007_3_a5/}
}
TY  - JOUR
AU  - S. S. Davidov
TI  - Commutative abelian algebras
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2007
SP  - 44
EP  - 51
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2007_3_a5/
LA  - ru
ID  - UZERU_2007_3_a5
ER  - 
%0 Journal Article
%A S. S. Davidov
%T Commutative abelian algebras
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2007
%P 44-51
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2007_3_a5/
%G ru
%F UZERU_2007_3_a5
S. S. Davidov. Commutative abelian algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2007), pp. 44-51. http://geodesic.mathdoc.fr/item/UZERU_2007_3_a5/

[1] Russian Math. Surveys, 53:1 (1998), 57–108 | DOI | DOI | MR | Zbl

[2] J. Jezek, T. Kepka, Medial groupoids, Praha, 1983

[3] A. G. Kurosh, Obschaya algebra, Nauka, M., 1974 | MR

[4] A.B. Romanowska, J.D.H. Smith, Modes, World Scientific, Singapore, 2002 | MR | Zbl

[5] Yu.M. Movsisyan, Vvedenie v teoriyu algebr so sverkhtozhdestvami, Izd-vo EGU, Er., 1986 | MR

[6] Yu.M. Movsisyan, “Hyperidentities and hypervarieties”, Scientiae Mathematicae Japonicae, 54:3 (2001), 595–640 | MR | Zbl

[7] S.S. Davidov, “Binarnye termy i polutermy”, Uchenye zapiski EGU, 2004, no. 1, 34–42