Generalized morphisms of abelian m-ary groups
Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 47-55.

Voir la notice de l'article provenant de la source Library of Science

We prove that the set of all n-ary endomorphisms of an abelian m-ary group forms an (m,n)-ring.
Keywords: n-ary endomorphism, m-ary group, (m,n)-ring
@article{DMGAA_2001_21_1_a4,
     author = {Gal'mak, Alexander},
     title = {Generalized morphisms of abelian m-ary groups},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {47--55},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a4/}
}
TY  - JOUR
AU  - Gal'mak, Alexander
TI  - Generalized morphisms of abelian m-ary groups
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2001
SP  - 47
EP  - 55
VL  - 21
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a4/
LA  - en
ID  - DMGAA_2001_21_1_a4
ER  - 
%0 Journal Article
%A Gal'mak, Alexander
%T Generalized morphisms of abelian m-ary groups
%J Discussiones Mathematicae. General Algebra and Applications
%D 2001
%P 47-55
%V 21
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a4/
%G en
%F DMGAA_2001_21_1_a4
Gal'mak, Alexander. Generalized morphisms of abelian m-ary groups. Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 47-55. http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a4/

[1] G. Crombez, On (n, m)-rings, Abh. Math. Sem. Univ. Hamburg 37 (1972), 180-199.

[2] A.M. Gal'mak, Generalized morphisms of algebraic systems (Russian), Voprosy Algebry 12 (1998), 36-46.

[3] K. Głazek, Bibliography of n-groups (polyadic groups) and some group-like n-ary systems, 'Proc. Symp. on n-ary Structures (Skopje 1982)', Macedonian Academy of Sciences and Arts, Skopje 1982, 253-289.

[4] K. Głazek and B. Gleichgewicht, Abelian n-groups, Colloq. Math. Soc. J. Bolyai, no. 29 ('Universal Algebra, Esztergom (Hungary) 1977'), North-Holland, Amsterdam 1981, 321-329.

[5] E.L. Post, Polyadic groups, Trans. Amer. Math. Soc. 48 (1940), 208-350.

[6] S.A. Rusakov, Sequences of mappings and the existence of symmetric n-ary groups (Russian), 'The Arithmetic and Subgroup Structure of Finite Groups' (Russian), Navuka i Tehnika, Minsk 1986, 120-134.

[7] S.A. Rusakov, Algebraic n-ary systems (Russian), Navuka i Tehnika, Minsk 1992.

[8] J. Timm, Kommutative n-Gruppen, Dissertation, Univ. Hamburg 1967.