Endomorphisms of abelian semicyclic n-ary groups. »" href="http://infcyb.donntu.ru/?feed=rss2&page_id=11_11&lang=ru" />

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.


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