Linear representation of binary Abelian algebras
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2005), pp. 58-63
Cet article a éte moissonné depuis la source Math-Net.Ru
In the present paper binary Аbelian algebras are studied by bringing them to known algebraic structures such as monoids. We have found conditions when binary Аbelian algebra has a linear representation, i.e. every operation of Аbelian algebra can be expressed by operation and endomorphisms of commutative monoid.
@article{UZERU_2005_3_a4,
author = {S. S. Davidov},
title = {Linear representation of binary {Abelian} algebras},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {58--63},
year = {2005},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_2005_3_a4/}
}
S. S. Davidov. Linear representation of binary Abelian algebras. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2005), pp. 58-63. http://geodesic.mathdoc.fr/item/UZERU_2005_3_a4/
[1] Yu. M. Movsisyan, “Sverkhtozhdestva v algebrakh i mnogoobraziyakh”, UMN, 53 (1998), 61–114 | DOI | MR | Zbl
[2] J. Jezek, T. Kerka, Medial groupoids, Praha, 1983 | MR
[3] A. G. Kurosh, Obschaya algebra, Nauka, M., 1974 | MR
[4] A. V. Romanovska, J. D. H. Smith, Modes, World Scientific, Singapore, 2002
[5] J.D.H. Smith, “Entropy, character theory and centrality of finite quasigroups”, Math. Proc. Cambridge Philos. Soc., 108 (1990), 435–443 | DOI | MR