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Diskretnaya Matematika, 2002, Volume 14, Issue 4, Pages 117–132
DOI: https://doi.org/10.4213/dm267 (Mi dm267) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonassociative Galois rings

S. González, V. T. Markov, K. Martines, A. A. Nechaev, I. F. Rua
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DOI: https://doi.org/10.4213/dm267
Abstract: The aim of this paper is to introduce the notion of a generalised Galois ring, that is, a Galois ring without associativity assumptions. Some basic properties of associative Galois rings such as cardinality, characteristic, and ideal lattice structure are extended to the nonassociative case. An existence theorem for generalised Galois rings is also proved. However, the uniqueness results known in the associative case are not kept any longer for generalised Galois rings.
The research was partially supported by FEDER (IFD–97–0556), by MCYT (PB–PGI99–04), and by FICYT (PB–EXPO1–33)
Received: 28.10.2002
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: S. González, V. T. Markov, K. Martines, A. A. Nechaev, I. F. Rua, “Nonassociative Galois rings”, Diskr. Mat., 14:4 (2002), 117–132; Discrete Math. Appl., 12:6 (2002), 519–606
Citation in format AMSBIB
\Bibitem{GonMarMar02}
\by S.~Gonz\'alez, V.~T.~Markov, K.~Martines, A.~A.~Nechaev, I.~F.~Rua
\paper Nonassociative Galois rings
\jour Diskr. Mat.
\yr 2002
\vol 14
\issue 4
\pages 117--132
\mathnet{http://mi.mathnet.ru/dm267}
\crossref{https://doi.org/10.4213/dm267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1964124}
\zmath{https://zbmath.org/?q=an:02095530}
\transl
\jour Discrete Math. Appl.
\yr 2002
\vol 12
\issue 6
\pages 519--606
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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