Generalized morphisms of abelian m-ary groups

• Autorzy: Alexander M. Gal'mak
• Języki publikacji: EN

Abstrakty

EN

We prove that the set of all n-ary endomorphisms of an abelian m-ary group forms an (m,n)-ring.

Słowa kluczowe

EN

n-ary endomorphism; m-ary group; (m,n)-ring

Kategorie tematyczne

• 20N15: n -ary systems ( n ≥ 3 )
• 16Y99: None of the above, but in this section

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2001
• Tom: 21
• Numer: 1
• Strony: 47-55

Daty

wydano

2001

otrzymano

1999-06-27

poprawiono

1999-09-22

poprawiono

2000-08-02

poprawiono

2001-03-05

Twórcy

autor

Alexander M. Gal'mak

• Department of Mathematics, Technological Institute, Shmidt ave. 3, 212027 Mogilev, Belarus

Bibliografia

• [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.

Identyfikatory

DOI

10.7151/dmgaa.1026