Endomorphisms of abelian semicyclic n-ary groups.
Kusov V. M., Shchuchkin N. A.
A complete description of the structure of endomorphism rings of finite and infinite Abelian semicyclic n-groups is given. An analogue of the Beer-Kaplansky theorem for finite Abelian semicyclic n-groups is proved. Conditions for the isomorphism of endomorphism rings for infinite abelian semicircular n-ary groups are found.Keywords: abelian n-ar group, endomorphism, semicyclic n-ar group, (n,2)-ring.