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| Ĥristo RJAĤOVSKI |
Ĥristo RJAĤOVSKIKategorio:Esperanto Kategorio:Esperanto-kulturo
Kategorio:Esperanto-movado Kategorio:Enciklopedio de Esperanto
Kategorio:Enciklopedio de Esperanto R
EdE-R
Ĥristo RJAĤOVSKI, bulgaro, d-ro, advokato. Nask. en 1881 en Gara Levski, mortis en 1934. Apartenis al literatura rondeto en Sofia (Nikolov, Petkov, Zografski, Spasov ktp.), kiu eldonis E-lingvan gazeton, el kiu poste fariĝis la „Unua Paŝo“. En 1904 eldonis senpagan propagandan gazeton „Trumpetisto“ kaj en 1907 „B. E-isto“. En 1906 eldonis prop. broŝuron.
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Tiu kategorio temas pri Esperanto kaj pri la Esperanto-movado.
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Kategorio:Enciklopedio de EsperantoEnciklopedio de Esperanto Enciklopedio de Esperanto Enciklopedio de Esperanto
Ĉefartikolo : Enciklopedio de Esperanto.
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Enciklopedio de Esperanto - REnciklopedio de Esperanto R Enciklopedio de Esperanto R R R
Bernardo RABASSA BOERAS
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Radikrimo v. Rimo
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Rezsö RAJCZY
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Jozsef REININGER
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Artin-Schreier coveringSee Artin-Schreier theorem for theory about real-closed fields
In mathematics, Artin-Schreier theory is a branch of Galois theory, and more specifically is a positive characteristic analogue of Kummer theory, for extensions of degree equal to the characteristic p.
If K is a field of characteristic p, a prime number, any polynomial of the form
:
for in K, is called an Artin-Schreier polynomial. It can be shown that this polynomial is always irreducible, and that its splitting field is a cyclic extension of K of degree p. The underlying point is that for any root β, it is simple algebra to show that β + 1 is again a root.
Conversely any extension of K of degree p (that is, equal to its characteristic) can be obtained by taking the splitting field of an Artin-Schreier polynomial. This can be proved using additive counterparts of the methods involved in Kummer theory, such as Hilbert's theorem 90 and additive Galois cohomology.
Artin-Schreier extensions, as are called those arising from Artin-Schreier polynomials, play a role in the theory of solvability by radicals, in characteristic p, representing one of the possible classes of extensions in a solvable chain.
They also play a part in the theory of abelian varieties and their isogenies. In characteristic p, an isogeny of degree p of abelian varieties must, for their function fields, give either an Artin-Schreier extension or a purely inseparable extension.
Category:Galois theory
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