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Anneaux polynomiaux a deux variables

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Abstract

Some types of extensions of skew fields are now known: Galois quadratic extensions ([7]), cyclic extensions ([1]), general quadratic extensions ([4]), binomial extensions ([5]). All these extensions belong to the class of pseudolinear extensions ([8]).

A new class of extensions, the so-called «hexaphic extensions», which extends the class of pseudo-linear extensions, will be studied in the other papers in future. For this study, we introduce in this paper skew polynomials rings in two variables over a ring, which extend the well-known skew polynomial rings in one variable (pseudolinear) first studied by O. Ore ([10]).

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Authors and Affiliations

  1. 10 Allée des Gardes Royales, 78000, Versailles, Francia

    Alfred Doneddu

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  1. Alfred Doneddu
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Doneddu, A. Anneaux polynomiaux a deux variables. Rend. Circ. Mat. Palermo 28, 80–90 (1979). https://doi.org/10.1007/BF02849588

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  • DOI: https://doi.org/10.1007/BF02849588

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