Geodesic
Automorphisms of residue rings of integer rings of circular fields
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 30-34

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The authors research the structure of residue rings of integer rings of circular fields by analyzing their ring automorphisms. The connections between a special subgroup of the automorphism group and the system of the inserted subrings of the residue rings are found. Among the occurring subrings the authors found a very prospective one for further research as well as a multitude of its noninvertible elements for some nontrivial cases.
Keywords: Abelian fields, circular fields, integer rings, residue rings, subrings, automorphisms. 
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     author = {A. V. Shponko},
     title = {Automorphisms of residue rings of integer rings of circular fields},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {30--34},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2012_6_a4/}
}
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A. V. Shponko. Automorphisms of residue rings of integer rings of circular fields. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 30-34. http://geodesic.mathdoc.fr/item/VYURM_2012_6_a4/