Anneaux polynomiaux a deux variables
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Some types of extensions of skew fields are now known: Galois quadratic extensions (), cyclic extensions (), general quadratic extensions (), binomial extensions (). All these extensions belong to the class of pseudolinear extensions ().
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 ().
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