Geodesic
Commutative abelian algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2007), pp. 44-51 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2007},
     number = {3},
     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
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
%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