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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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[2] Shponko A. V., “The orders of elements in groups of residue rings of Abelian fields”, Problems of Theoretical and Applied Mathematics, Proc. of the 40th All-Russian Youth Conference (Ekaterinburg, 2009), 72–75 (in Russ.)

[3] Shponko A. V., “Subring of residue rings of integers of cyclotomic fields”, Problems of Theoretical and Applied Mathematics, Proc. of the 42th All-Russian Youth Conference (Ekaterinburg, 2011), 256 (in Russ.)